Question

Please please help
The measure of the second angle of a triangle is twice the measure of the first. The measure of the third angle is six times the measure of the first.
What measure is the third angle?

Answer 1

Step-by-step explanation:

So,Let Angle 1 be x, Angle 2 be 2x, Angle 3 be 6x...

Now,

Angle 1 + Angle 2 + Angle 3 = 180°

( Sum of all angles of the triangle)

x + 2x +6x = 180°

x + 8x = 180°

9x = 180°

x = 180°/9

x = 20°

Therefore,

1. Angle 1 = x = 20°
2. Angle 2 = 2x = 2 × x = 2×20° = 40°
3. Angle 3 = 6x = 6 × x = 6×20° = 120°

So, 20°,40°,120° are the 3 angles of the triangle..

hope it helps!!!

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