Question

if an angle is 30° more than one half of its complement find the measure of the angle

Answer 1

Hi ,

Let the one angle = x°

It's Complementary angle = ( 90 - x )

According to the problem given ,

x - 1/2(90 - x ) = 30°

=> [ 2x - ( 90 - x ) ] /2 = 30

=> 2x - 90+ x = 60

=> 3x - 90 = 60

=> 3x = 60 + 90

=> 3x = 150

=> x = 150/3

=> x = 50°

Therefore ,

Required angle = x = 50°

I hope this helps you.

:)

Answer 2

# Solution -

Let the one angle = β, then,

It's Complementary angle = ( 90 - β )

According to the Question:

β - 1/2(90 - β ) = 30°

➟ [ 2β - ( 90 - β ) ] /2 = 30

➟ 2β - 90+ β = 60

➟ 3β - 90 = 60

➟ 3β = 60 + 90

➟ 3β = 150

➟ β = 150/3

➟ β = 50° __________[ANSWER]