Q213
The exterior angle of a triangle is 115° and the corresponding interior opposite angles are in the ratio 2 : 3. The measure of greatest angle of the triangle is:
A.
70°
B.
65°
C.
69°
AnswerD.
79°
Answer: Option C
Solution
Answer: Option C
Solution:
5x = 115° (by exterior angle theorem)
x = 23°
2x = 46°
3x = 69°
∠ABC = 65°
The greatest angle = 69°