Question

10. In an isosceles triangle ABC, the measure of vertex angle A is 30° more than the measure
of each base angle. Find the measure of each angle of the triangle.​

Answer 1

Step-by-step explanation:

The total of the 3 angles in any triangle is always 180 deg.

So, the 2 base angles add up to 150, since 150 + 30 = 180.

The 2 base angles are equal, since we're told that it's an isosceles triangle.

150/2 = 75 degrees.

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Answer 2

Answer:

Angle A is 80 and Angle B= Angle C= 50.

Step-by-step explanation:

let angle B and C be x°.

So, angle A is (x+30)°.

A/Q

x°+x°+(x+30)° = 180°

(3x+30)°=180°

x= {(180-30)/3}°

x=(150/3)°=50°

Therefore, Angle A = ( x + 30 )°= 50 + 30= 80°

Angle B= Angle C= x=50°