Question

The ratio between the base angle and the vertical angle of an isosceles triangle is 2:5. find each angle

Answer 1

HEY IN THE ISOSCELES ∆

2 ANGLES ARE GIVEN .....

LET THEIR COMMON MULTIPLE BE X....

SO ANGLES ARE 2X AND 5X

BASE ANGLES OF ISOSCELES ∆ ARE CONGRUENT.....

SO ANGLES OF ∆ ARE 2X , 2X , 5X....

SO 2X+2X+5X=180

4X+5X=180

9X=180

X=180/9

X=20

2X=20*2=40

5X=5*20=100

SO ANGLES ARE 100° , 40° , 40°......