What is the measure of the smaller angle?

Question

The figure shows a right angle divided into two different angles. The measure of the larger angles is (11x)°, and the measure of the smaller angle is (7x)°. Angles are not drawn to scale

 

 

What is the measure of the smaller angle?

Answer 1

If 90 degrees is divided into 11x+7x, then 90=11xº+7xº=18xº. Set up the equation as 90=18x, then x=5. 7(5)=35º.