The smallest angle in a triangle is one-fourth the size of

the largest angle and half the size of the other angle in the

triangle. What is the measure of the largest angle? Round

to the nearest whole number if necessary.

Question

Lillianna Holland

Mathematics

20 February, 08:42

The smallest angle in a triangle is one-fourth the size of

the largest angle and half the size of the other angle in the

triangle. What is the measure of the largest angle? Round

to the nearest whole number if necessary.

+2

Answers (1)

Know the Answer?

Tiana Miranda · Answer 1

Step-by-step explanation:

Let the smallest angle be x

The largest angle = y

x = 1/4y

y = 4x

Let the third angle be z

x = 1/2z

z = 2x

sum of triangles = 180

x + y + z = 180

x + 4x + 2x = 180

7x = 180

x = 180/7 = 25.7

x = 26

Measure of largest angle = 4*26 = 104

The smallest angle in a triangle is one-fourth the size ofthe largest angle and half the size of the other angle in thetriangle. What is the measure of the largest angle? Roundto the nearest whole number if necessary.

The smallest angle in a triangle is one-fourth the size of

the largest angle and half the size of the other angle in the

triangle. What is the measure of the largest angle? Round

to the nearest whole number if necessary.