One angle of a triangle is 43° and the second angle is twice as big as find the third angle?

1 answer

Let x be the measure of the second angle. Then we have:

43 + x + 2x = 180 (the sum of the angles in a triangle is 180 degrees)

Simplifying this equation, we get:

43 + 3x = 180

Subtracting 43 from both sides, we get:

3x = 137

Dividing both sides by 3, we get:

x = 45.67

So the second angle is approximately 45.67 degrees. To find the third angle, we can subtract the sum of the first two angles from 180 degrees:

180 - 43 - 45.67 = 91.33

Therefore, the third angle is approximately 91.33 degrees.