The measure of angle 1 is (3x + 10) ° and the measure of angle 4 is (4x - 15) °. Vertical and parallel lines c, d, and e are cut by diagonal transversal a. On line c where it intersects with line a, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. On line b where it intersects with line a, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5. What is the measure of angle 7? °

Question

Bucky

Mathematics

14 October, 15:15

The measure of angle 1 is (3x + 10) ° and the measure of angle 4 is (4x - 15) °. Vertical and parallel lines c, d, and e are cut by diagonal transversal a. On line c where it intersects with line a, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. On line b where it intersects with line a, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5. What is the measure of angle 7? °

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Kira Sharp · Answer 1

95 degrees

Step-by-step explanation:

since angles 1 and 4 are vertical angles, they are congruent

3x+10=4x-15

3x-4x=-15-10

-x=-25

x=25

x=25 degrees

angles 4 and 7 are supplementary due to them being alternate exterior angles

lets find the measure of angle 4:

4x-15

4*25-15

100-15

85 degrees

Now, lets find the angle measure of angle 7:

85+x=180

x=180-85

x=95

So, the angle measure of angle 7 is 95 degrees