Question

The sum of the measures of angle X and angle Yis 90. If the measure of angle X is 30 less than twice the measure of angle Y, what is the measure of angle X?

Answer 1

Let the measure of angle

X

be

x

.

As sum of angle

X

and

Y

is

90

∘

measure of angle

Y

is

90

∘

−

x

But measure of angle

X

is

30

∘

less than twice the measure of angle

Y

, we have

x

=

2

(

90

∘

−

x

)

−

30

∘

or

x

=

180

∘

−

2

x

−

30

∘

=

150

∘

−

2

x

or

3

x

=

150

∘

and hence

x

=

50

∘

Hence

∠

X

=

50

∘