One angle of a triangle is 1/3 of a right angle and the greater of the other two exceeds the lesser by 80degree find all the angles

Hi there!

The angle that is 1/3 of a right angle is 30°, because a right angle is 90°.

90 ÷ 3 = 30

The greater angle exceeds (is greater than) the lesser angle by 80°, which is 30°, so that means it must be 110°.

30 + 80 = 110

All interior angles of a triangle add up to 180°, so that means the last angle must be 40°, because we already have 140°.

30 + 110 = 140

180 - 140 = 40

Angles of the triangle: 30°, 40°, 110°

Hope this helps!