Question

The measure of one angle of a right triangle is 44∘ more than the measure of the smallest angle. Find the measures of all three angles.

Answer 1

Smallest angle = 23

Middle angle = 23 + 44 = 67

Right angle = 90

Explanation:

Givens

Let the smallest angle = x

Let the middle angle = x + 44

Let the right angle = 90 which it always does.

All triangles = 180 degrees.

Equation

x + x + 44 + 90 = 180

Solution

2x + 44 + 90 = 180 Combine the left

2x + 134 = 180 Subtract 134 from both sides

2x +134-134 = 180 - 134 Combine

2x = 46 Divide by 2

2x/2 = 46/2 Do the division

x = 23