Question

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

Answer 1

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°