Subjects geometry

Angle Value Ec7Dbf

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1. **State the problem:** We need to find the value of $d$ given two adjacent angles formed by intersecting lines: one angle is $94^\circ$ and the other is $(8d+6)^\circ$. 2. **Use the rule for adjacent angles on a straight line:** Adjacent angles formed by intersecting lines on a straight line sum to $180^\circ$. 3. **Set up the equation:** $$ (8d + 6) + 94 = 180 $$ 4. **Simplify the equation:** $$ 8d + 6 + 94 = 180 $$ $$ 8d + 100 = 180 $$ 5. **Isolate $d$:** $$ 8d = 180 - 100 $$ $$ 8d = 80 $$ 6. **Divide both sides by 8:** $$ d = \frac{80}{8} $$ $$ d = \cancel{\frac{80}{8}} 10 $$ 7. **Final answer:** $$ d = 10 $$ The value of $d$ is 10.