Question

if one of the exterior angles of a triangle is 105 and the interior opposite angles are in ratio 2:5 then the triangle is

a. acute angle. b. isosceles triangle. c.scalene triangle
d. both a and b

Answer 1

answer is a. acute angle

Answer 2

WE KNOW THAT

INTERIOR OPPOSITE ANGLE = EXTERIOR ANGLE

2X+5X = 105

7X = 105

X = 15

2X = 15*2 = 30

5X = 15*5 = 75

SO, ANSWER IS ACUTE ANGLE BECAUSE BOTH ARE ACUTE