Answer:
Given:
- ∠1 = 63 - 2x°
- ∠2 = 72 - 3x°
And if we look at the diagram, we can see that angles 1 and 2 are corresponding, and corresponding angles are congruent(meaning they measure the same degrees).
So all we need to do now, is set up the equation to angle 1 being equal to angle 2.
(63 - 2x) ← [angle 1] = (72 - 3x) ← [angle 2]
Solve;
63 - 2x = 72 - 3x
+2x +2x
63 = 72 - 1x
-63 -63
9 - 1x = 0
+1x +1x
9 = x, the value of 'x' measures 9°.