Question

angle a and b are supplementary angles if a is greater than b by one third of a right angle. find the value of a and b.

Answer 1

Angle A=105 angle B =75

Answer 2

Answer:

b = 75°

a = 105°

Step-by-step explanation:

Given, a is greater than b by one-third of a right-angle triangle.

To find, the value of 'a' and 'a'.

From this, we can understand that a > b.

a is greater than b by one-third of a right-angle triangle.

→ ⅓ × 90

→ 30

→ a = 30 + x

→ b = x

→ 30 + x + x = 180 (linear pair)

→ 30 + 2x = 180

→ 2x = 180 - 30

→ 2x = 150

→ x = 150/2

→ x = 75° = b

→ a = 30 + x = 30 + 75 = 105