Question

In the diagram, the measure of angle 5 is (10x – 9)°, and the measure of angle 7 is (9x)°. What is the measure of angle 6, to the nearest degree?

A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 6, to the nearest degree?

Answer 1

the answer is not 99

Explanation:

Answer 2

9514 1404 393

Answer:

99°

Explanation:

If we assume that angles 5 and 7 are vertical angles, they are congruent:

10x -9 = 9x

x = 9 . . . . . . . add 9-9x

Then angles 5 and 7 are ...

(10·9 -9)° = 9·9° = 81°

Angle 6 will be the supplement to this.

angle 6 = 180° -81°

angle 6 = 99°