Answer:
x = 4 H
m<A = 65⁰ I
m<B = 88⁰ G
m<C = 23⁰ E
Code: HIGE
Step-by-step explanation:
m<A + m<C = m<B (vertically opposite angles)
Given that m<A + m<C = 88⁰
Therefore, m<B = 88⁰
G
Also, given m<A = 15x + 5 and m<C = 5x + 3
therefore 15x + 5 + 5x + 3 = 88
20x + 8 = 88 Add -8 to both sides
20x = 88 - 8
20x = 80 Divide both sides by 20
x = 80 / 20
x = 4
H
Hence,
m<A = 15x + 5 = 15(4) + 5
= 60 + 5
m<A = 65⁰
I
Also, m<C = 5x + 3 = 5(4) + 3
= 20 + 3
m<C = 23⁰
E
