In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 64 de

Question

3 years ago

12

In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 64 de

grees more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180 degrees° to find the measure of each angle.

Mathematics

1 answer:

Andrej [43] · Answer 1 · 2022-03-07T20:13:08+03:00

Andrej [43]3 years ago

7 0

X = first angle
y = second angle
z = 3rd angle

x + y + z = 180
x = 2y
z = y + 64

2y + y + y + 64 = 180
4y + 64 = 180
4y = 180 - 64
4y = 116
y = 116/4
y = 29 <=== 2nd angle

x = 2y
x = 2(29)
x = 58 <=== 1st angle

z = y + 64
z = 29 + 64
z = 93 <== 3rd angle

In a​ triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 64 de

In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 64 de