Question

In ∆ABC, ∠A: ∠B: ∠C: = 3: 7: 8. The measure of exterior angle formed by producing AB is

Answer 1

Answer:

110°

Step-by-step explanation:

we know that sum of all angles in a triangle is 180°

let x be any number

3x+7x+8x=180°

18x=180°

x=10°

so

∠A=3x=3*10°=30°

∠B=7x=7*10°=70°

∠c=8x=8*10°=80°

now, we know that

exterior angle is equal to sum of opposite two interior angles

so

exterior angle formed by producing ab is

∠A+∠C=30°+80°=110°

hope this helps u