In a triangle the measurements of the angles are x°, ( x + 6)°, (2x + 10)°, and the sum of the three angles of a triangle is 180

Question

3 years ago

7

. What is the measurement of the largest angle in degrees?

1 answer:

34kurt · Answer 1 · 2022-01-01T03:22:45+03:00

Answer:

largest angle = 92°

Step-by-step explanation:

Since the measurement of the angles are;

x°, ( x + 6)°, (2x + 10)°

And we know that sum of angles in a triangle is 180. Thus;

x + (x + 6) + (2x + 10) = 180

x + x + 6 + 2x + 10 = 180

4x + 16 = 180

4x = 180 - 16

4x = 164

x = 164/4

x = 41°

The other two angles will be;

(41 + 6)° and (2(41) + 10)°

Which gives;

47° and 92°

So,largest angle = 92°