The sum of the measures of the angles of a triangle is 180 degrees. the second angle is twice the measure of the first angle. th

Question

andreyandreev [35.5K]

3 years ago

14

The sum of the measures of the angles of a triangle is 180 degrees. the second angle is twice the measure of the first angle. th

e third angle is three times the measure of the second angle. find the measure of each angle

Mathematics

1 answer:

Luda [366] · Answer 1 · 2021-12-12T12:22:14+03:00

Luda [366]3 years ago

6 0

∠1 = x
∠2 = 2x
∠3 = 3 * 2x = 6x

x + 2x + 6x = 180
9x = 180
x = 180/9
x = 20° ← <span>the first angle

</span>the second angle = 2 * 20 = 40°

<span>the third angle = 3 * 40 = 120</span>°