N a triangle, the measure of the first angle is 24 degrees more than the measure of the second angle. The measure of the third a

Question

2 years ago

5

ngle is four times the measure of the second angle. If the total number of degrees in a triangle is 180, what is the measure of the largest angle?

1 answer:

almond37 [142] · Answer 1 · 2022-04-20T16:57:02+03:00

5 0

x + 24 = first angle

x = second angle

4x = third angle

x + 24 + x + 4x = 180°

6x + 24 = 180°

6x = 180° - 24

6x = 156°

x = 156° ÷ 6

x = 26°....the second angle.

x + 24 = 26 + 24 = 50°.... the first angle.

4(26) = 104°

The largest angle is the third angle, which measures 104°.