📐 geometry

1. **Stating the problem:** We need to find the measure of angle 1, denoted as $m\angle 1$, in a triangle where two other angles are given: 34° and 113°. 2. **Formula used:** The s

1. The problem states that we have a triangle with angles labeled as $9x$, $30^\circ$, and $33^\circ$. We need to find the value of $x$. 2. Recall that the sum of the interior angl

1. **State the problem:** We have a triangle with three angles: $b + 18^\circ$, $111^\circ$, and $2b$. We need to find the value of $b$. 2. **Recall the triangle angle sum rule:**

1. **State the problem:** We have a triangle with three angles: $a + 50^\circ$, $70^\circ$, and $a + 44^\circ$. We need to find the value of $a$. 2. **Recall the triangle angle sum

1. The problem states that a triangle has three equal angles, each labeled as $w + 49^\circ$. 2. We know the sum of the interior angles of any triangle is $180^\circ$.

1. **Problem Statement:** We have a triangle with two equal sides labeled $2y$ and the angle between these sides is $44^\circ$. We need to find the value of $y$. 2. **Understanding

1. **State the problem:** We have a triangle with angles 43°, 35°, and an angle labeled as 3x. We need to find the value of $x$. 2. **Recall the triangle angle sum rule:** The sum

1. **State the problem:** We have a triangle with three angles: 38°, $u + 43°$, and 46°. We need to find the value of $u$. 2. **Recall the triangle angle sum rule:** The sum of the

1. **State the problem:** We have a triangle with angles 38°, 32°, and an angle expressed as 5v. We need to find the value of $v$. 2. **Recall the triangle angle sum rule:** The su

1. **State the problem:** We have a triangle with three interior angles: 34°, 38°, and 4a°. We need to find the value of $a$. 2. **Recall the triangle angle sum rule:** The sum of

1. **State the problem:** We have a triangle with sides labeled $6s$ and $8s$, and an angle of $40^\circ$ opposite the side $6s$. We need to find the value of $s$. 2. **Identify th

1. **State the problem:** We have a triangle with angles 30°, 90°, and an angle labeled as $3w$. We need to find the value of $w$. 2. **Recall the triangle angle sum rule:** The su

1. **State the problem:** We have a triangle with three angles: one is 40°, the second is labeled as $11z$, and the third is labeled as $9z$. We need to find the value of $z$. 2. *

1. **State the problem:** We have a triangle with three angles: one is 36°, the second is labeled 4s, and the third is labeled 2s. We need to find the value of $s$ in degrees. 2. *

1. The problem asks us to find the value of angle $x$ in a triangle where the other two angles are $31^\circ$ and $108^\circ$. 2. Recall the Triangle Angle Sum Theorem: The sum of

1. **State the problem:** We have a triangle with angles 46°, 40°, and an unknown angle $b$. We need to find the value of $b$. 2. **Formula used:** The sum of the interior angles o

1. The problem states that we have a triangle with angles 60°, 81°, and an unknown angle $v$. 2. The sum of the interior angles of any triangle is always 180°. This is a fundamenta

1. **State the problem:** We have a triangle with two known angles, 37° and 73°, and we need to find the unknown angle $a$. 2. **Formula used:** The sum of the interior angles of a

1. **State the problem:** We have a triangle with two angles measuring 64º each, and the third angle is labeled as $b$. We need to find the value of $b$. 2. **Recall the triangle a

1. **State the problem:** We have a triangle with angles 70°, 44°, and an unknown angle $t$. We need to find the value of $t$. 2. **Formula used:** The sum of the interior angles o

1. **State the problem:** We have a triangle with angles 95°, 45°, and an unknown angle $u$. We need to find the value of $u$. 2. **Recall the triangle angle sum rule:** The sum of