The second angle of a triangle is twice as large as the first angle. The third angle is 35 greater than the second angle. How large is the first angle?

Question

asked Oct 24, 2021 149k views

1 Answer

Sabrams · Answer 1 · 2021-10-29T01:19:59+0000

Answer:

29°

Explanation:

Let x represent the first angle. Then the second angle is 2x, and the third angle is 2x+35°. The sum of the angles is 180°, so we have ...

x + 2x + (2x+35) = 180

5x +35 = 180 . . . . collect terms

x +7 = 36 . . . . . . . divide by 5

x = 29 . . . . . . . . . . subtract 7

The first angle is 29°.