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?

Question

a. 20 degrees***
b. 35 degrees
c. 50 degrees
d. 65 degrees

Answer 1

x + y = 90

x = 2 y - 30 (use that for x)
------------------------------

(2 y - 30) + y = 90

3 y = 120
y = 40
so x = 50

Answer 2

well, if x=20, then y=70, since they add to 90.

does 20 = 2*70-30?

what did you do first?

Answer 3

so is the answer 50?

Answer 4

x + y = 90 -a
x = 2 y - 30 -b
these are the two equations you get from the question.
b cab written as x-2y=30
now a-b then you get x as 50