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krek1111 [17]
3 years ago
10

Angle a is 5/3 of Angle b. Find Angles a and b plz

Mathematics
1 answer:
4vir4ik [10]3 years ago
8 0

Answer:

Angle a = 112.5°

Angle b = 67.5°

Step-by-step explanation:

Angle a + angle b = 180° (Supplementary Angles/angles on a straight line)

Let x = m<b

m<a = ⁵/3(x)

Therefore:

⁵/3x + x = 180

\frac{5x}{3} + x = 180

\frac{5x + 3x}{3} = 180

\frac{8x}{3} = 180

Multiply both sides by 3

\frac{8x}{3} \times 3 = 180 \times 3

8x = 540

Divide both sides by 8

x = 67.5°

Angle a = ⁵/3(x) = ⁵/3(67.5) = 112.5°

Angle b = x = 67.5°

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