Home > Geometry > Complementary and Supplementary Angles

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

Aurora Ayala

#/_X=50^@#

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^@-2x-30^@=150^@-2x#

or #3x=150^@#

and hence #x=50^@#

Hence #/_X=50^@#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Sadie Adams

Let the measure of angle Y be ( y ) degrees. Then, according to the given information, the measure of angle X is ( 2y - 30 ) degrees. Since the sum of the measures of angles X and Y is 90 degrees, we have the equation ( (2y - 30) + y = 90 ). Solving this equation will give us the measure of angle X.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.