Question

2. The sum of the measures of angle X and angle Y is 90. If the measure of angle X'is 30 less than

twice the measure of angle Y, what is the measure of angle X?
200
359
50
65°

Thank you.

Answer 1

The measure of angle x is 50 degrees

Explanation:

we know that

`x+y=90` ----> equation A

`x=2y-30` ----> equation B

solve the system by substitution

substitute equation B in equation A

`(2y-30)+y=90`

solve for y

`3y=90+30`

`3y=120`

`y=40^o`

Find the measure of angle x

`x=2(40)-30=50^o`

therefore

The measure of angle x is 50 degrees