Question

What are the measures of the two angles in the figure below?

Answer 1

These 2 angles add up to 90 degrees, so

4x + 2 + 3x + 4 = 90

7x = 90 - 6 = 84

x = 12

So the 2 angles are 4*12 + 2 = 50 and 3(12) + 4 = 40

Answer 50 degrees and 40 degrees (the top one is 50 degrees)

Answer 2

You can see that the two angles sum up to 90°. So, you have the following equation:

`(4x+2)+(3x+4) = 90 \iff 7x + 6 = 90 \iff 7x = 84 \iff x = (94)/(7) \iff x = 12`

So, angle above measures

`4x+2 = 4\cdot 12+2 = 48+2 = 50`

And the angle below measures

`3x+4 = 3\cdot 12+4 = 36+4 = 40`