Question

Can someone pls helppp!!!!!!​

Answer 1

a.) 3x+39=90

b.) ∠1=34°

∠2=56°

Explanation:

According to the graph, ∠1 + ∠2=90°.

∠1=2x and ∠2=x+39

So,

`2x+(x+39)=90\\2x+x+39=90\\3x+39=90\\3x=51\\x=17`

Rewrite the equations for the two angles substituting 17 for x.

∠1=[2(17)]°=34° and ∠2=[(17)+39]°=56°

Answer 2

(a) 2x + x + 39 = 90

(b) m<1 = 34°; m<2 = 56°

Explanation:

Use the angle addition postulate. Angles 1 and 2 add to a right angle. A right angle has a measure of 90°.

(a) m<1 + m<2 = 90

2x + x + 39 = 90

(b)

Solve the equation for x.

2x + x + 39 = 90

3x = 51

x = 17

Use the value of x to find the angle measures.

m<1 = 2x = 2(17) = 34

m<2 = x + 39 = 17 + 39 = 56