Question

if ∆ ABC =∆ pqr and angle a is 60°and angle b is 70°then what is the measure of angle 5

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Answer 1

the measure of angle 5is60°

Answer 2

★ Correct Question

If ∆ ABC =∆ PQR and angle a is 60°and angle b is 70°.Then what is the measure of angle R?

★ Solution

We have, ∆ ABC =∆ PQR thus, we can say that :

• All the angles of ∆ ABC will also be equal to ∆ PQR

Now,

• $\angle$ A = $\angle$ P = 60
• $\angle$ B = $\angle$ Q = 70
• $\angle$ C = $\angle$ R

So, if we will find $\angle$ C of ∆ABC we can get $\angle$ R itself.

= $\angle$ A + $\angle$ B + $\angle$ C = 180° (Angle sum property of triangle)

= 60 + 70 + $\angle$ C = 180

= 130 + $\angle$ C = 180

= $\angle$ C = 180 - 130

= $\angle$ C = 50

• Thus,$\angle$ R = 50 because $\angle$ C = $\angle$ R.

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