Question

the sum of the measure of 2 conqurent alternate angle how many times the measure of any of these angle​

Answer 1

Step-by-step explanation:

What is the measure of an angle if its two, adjacent, supplementary angles add up to 100°?

Call the mystery angle x, call the two adjacent supplementary angles y and z.

We know:

x + y = 180°

x + z = 180°

y + z = 100°.

Add the first two equations together:

2x + y + z + 360° : Substitute 100° in for the sum of y + z.

2x + 100° = 360° : subtract 100° from both sides.

2x = 260° : divide both sides by 2

x = 130°.