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Find the measure of Angle 5.

measure of angle 7 = 2x+15

measure of angle 8 = 3x

Find the measure of Angle 5. measure of angle 7 = 2x+15 measure of angle 8 = 3x-example-1
User Kunok
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1 Answer

4 votes

Answer:

x=33

Measure of angle 5=81

Measure of angle 6=99

Measure of angle 7=81

Measure of angle 8=99

Explanation:

Angles 7 and 8 are supplementary because they share a common vertex while laying on a line.

That is the measurement of angles 7 and 8 add up to be 180.

mAngle7+mAngle8=180

(2x+15) + (3x ) =180

2x+15 + 3x =180

Combine like terms:

5x+15 =180

Subtract 15 on both sides:

5x =180-15

Simplify right hand side:

5x = 165

Divide both sides by 5:

x =165/5

Simplify right hand side:

x =33

The measure of angle 7 is 2x+15=2(33)+15=66+15=81.

The measure of angle 8 is 3x=3(33)=99.

Recall vertical angles are congruent.

5 and 7 are vertical so the measure of angle 5 is 81.

6 and 8 are vertical so the measure of angle 6 is 99.

Measure of angle 5=81

Measure of angle 6=99

Measure of angle 7=81

Measure of angle 8=99

User Joe Ho
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