Question

If the difference between the measures of the two smaller angles of a right triangle is 20 degrees what is the measure, in degrees, of the smallest angle?

Answer 1

Answer:

Measure of the smallest angle = 35 degrees.

Step-by-step explanation:

As it is a right triangle the values of the 2 smaller angles will add up to 90 degrees.

So  the 2 angles can be written as x and 90-x and  we have:

(90 - x) - x = 20

-2x = 20 - 90 = -70

x = 35.

So the 2 angles are 35 and 55 degrees.

Answer 2

Answer:The  measure of the smallest angle is 35 degrees.

Step-by-step explanation:

a  + b = 90

a-b = 20

2a = 110

a = 55

90 -55= 35