Geometry very hard

Question

A and ∠B are supplementary angles. If m∠A=(x−28)∘ and m∠B=(7x−24)∘, then find the measure of ∠B.

Answer 1

179 degree is right.

Answer 2

x-28+7x-24=180

8x-52=180

8x=232

x=29

29-28=1°

203-24=179°

Answer 3

Supplementary angles have a sum of 180°.

x - 28 + 7x - 24 = 180

8x - 52 = 180

8x = 232

x = 29°



Answer 4

Keyonta,

The sum of two supplementary angles is 180 degrees.

Given: m∠A=(x−28)∘ 

m∠B=(7x−24)∘

m∠A + m∠B = 180

(x - 28) + (7x - 24) = 180

8x - 52 = 180

8x = 232

x = 29

Now we substitute x to find angle B

m∠B=(7x−24)∘

m∠B=(7x−24)∘

= (7*29 −24)∘

= 179^o