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

Answer 1

Answer:

The measure of angle x is 50 degrees

Step-by-step 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