Question

∆ Find the measure of angle B if ABC has angle A = 100 ° and AB = AC.​

Answer 1

Answer:

AB=AC

∠B=∠C [Angles opposite to equal sides are equal]

In △ABC,

∠A+∠B+∠C=180

100

+2∠B=180

∠B=40

Therefore,

∠B=∠C=40

Step-by-step explanation:

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Answer 2

Answer:

40°

Step-by-step explanation:

Since in ∆ABC, AB=AC we can say that angle ABC= angle ACB

{ angles opposite to equal sides are equal}

Let angle ABC= angle ACB = X

Using Angle Sum property in ∆ ABC,

X + X +100° =180°

2X +100°=180°

2X=180°-100°

=80°

Therefore, X = 80°÷2 = 40°