Question

In the figure below, m Z1=(x+22) and m2 = 3xº.
Find the angle measures.
기
m2 1 = 0
m2 = 7

Answer 1

Answer:

∠ 1 = 39°, ∠ 2 = 51°

Step-by-step explanation:

∠ 1 and ∠ 2 are complementary angles, that is sum to 90°. then

x + 22 + 3x = 90

4x + 22 = 90 ( subtract 22 from both sides )

4x = 68 ( divide both sides by 4 )

x = 17

Thus

∠ 1 = x + 22 = 17 + 22 = 39°

∠ 2 = 3x = 3 × 17 = 51°

Answer 2

both angle adds up to 90°, so now you'll have an equation of :

(x + 22) + 3x = 90

find x first:

4x = 90 - 22

x = (90 - 22) ÷4

= 17

now sub x=17 for the angle 1 = (x +22) ,

17 + 22 = 39

sub x=17 for the angle 2 = 3x ,

3(17) = 51

thus,

angle 1 is 39°

angle 2 is 51°