Question

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

Answer 1

Angle a = 112.5°

Angle b = 67.5°

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

`(5x)/(3) + x = 180`

`(5x + 3x)/(3) = 180`

`(8x)/(3) = 180`

Multiply both sides by 3

`(8x)/(3) * 3 = 180 * 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°