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: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

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.