Question

∆ABC is a right angled triangle in which angle B=90°.if angle ABD is an exterior angle of ∆ABC,find its measure?​

Answer 1

Answer:

We can use the property that angles opposite to equal sides are equal and then by using angle sum property in triangle ABC we can find the value of ∠B and ∠C.ABC is a right-angled triangle in which ∠A = 90° and AB = AC. Find ∠B and ∠C

It is given that,

AB = AC

∴ ∠C = ∠B (Angles opposite to equal sides are also equal)

Let ∠B = ∠C = x

In ΔABC,

∠A + ∠B + ∠C = 180° (Angle sum property of a triangle)

90°+ x + x = 180°

90°+ 2x = 180°

2x = 90°

x = 45°

∴ ∠B = ∠C = 45°

Step-by-step explanation:

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Answer 2

Answer:

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