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
[tex] \frac{5x}{3} + x = 180 [/tex]
[tex] \frac{5x + 3x}{3} = 180 [/tex]
[tex] \frac{8x}{3} = 180 [/tex]
Multiply both sides by 3
[tex] \frac{8x}{3} \times 3 = 180 \times 3 [/tex]
[tex] 8x = 540 [/tex]
Divide both sides by 8
x = 67.5°
Angle a = ⁵/3(x) = ⁵/3(67.5) = 112.5°
Angle b = x = 67.5°
