Question

The angles of a triangle add up to 180 degrees.
The second angle is 32 degrees larger than the smallest angle.
The third angle is 2 times as big as the smallest angle.
Find the measure of the smallest angle (in degrees)

Answer 1

The measure of the smallest angle (in degrees) is 37 degrees

Sum of angle in a triangle

A triangle is a 2 dimensional shape that has 3 angles and sides. Let the measure of the smallest angle be "x" such that;

If the second angle is 32 degrees larger than the smallest angle, then;

y = x + 32

If the third angle is 2 times as big as the smallest angle, then;

z = 2x

Since x + y + z = 180, then;

x + x + 32 + 2x = 180

4x + 32 = 180

4x = 180 - 32

4x =148

x = 148/4

x = 37. degrees

Hence the measure of the smallest angle (in degrees) is 37 degrees

Learn more on angle in a triangle here: https://brainly.com/question/25215131

#SPJ1