Question

Find the measure of Angle 5.

measure of angle 7 = 2x+15
measure of angle 8 = 3x

Answer 1

Answer on Question #43638 – Math - Geometry

Find the measure of Angle 5.

Measure of angle $7 = 2x + 15$

Measure of angle $8 = 3x$

Solution

Angle 7 and 5 are vertical angles, so they're equal.

Angles 7 and 8 are supplementary, so they have to add up to 180.

$$2x + 15 + 3x = 180 \rightarrow x = 33.$$

The measure of Angle 5 is

$$2x + 15 = 2 \cdot 33 + 15 = 81.$$

Answer: 81.

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