Question

A triangle has an angle that measures 110°. The other two angles are in a ratio of 2:5. What are the measures of those two angles?

Answer 1

180-110 =70
2:5= 2+5=7
70 ÷ 7 = 10
2 x 10 =20
5 x 10 = 50
Angles = 20:50

Answer 2

20 and 50

Explanation:

the angles of a triangle add up to 180 degrees.

so if 1 angle is 110, then the other two angles combined, add up to (180 - 110) = 70.

the other two angles are in a ratio of 2:5....added = 7

meaning 1 angle is 2/7 of total measure and the other angle is 5/7 of the measure

so one angle is : 2/7 of 70 = 2/7 * 70 = 140/7 = 20 <==

and the other one is 5/7 of 70 = 5/7 * 70 = 350/7 = 50 <==