Question

In the diagram, what is the measures of angle 1?

A.) 45°

B.) 135°

C.) 15°

D.) 125°

Answer 1

45 i just took the test.

Explanation:

Answer 2

The correct option is A.

Explanation:

Line A and B are parallel lines.

`\angle 1=3x` ....(1) (Alternate exterior angles)

`\angle 1+9x=180` (Supplementary angles)

`3x+9x=180`

`12x=180`

`x=15`

The value of x is 15.

Put this value in equation (1).

`\angle 1=3* 15=45`

Therefore measures of angle 1 is 45° and option A is correct.