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In the following question, a statement of assertion (A) is followed by a statement of reason (R). Choose the correct answer from the given options.Assertion(A): In ΔABC, AB = AC and ∠B = 50°, then ∠C is 50°.Reason(R): Angles opposite to equal sides of a triangle are equal.

Sagot :

ajeigbeibraheem

A and R are both correct, and R is the correct explanation of A.

In an isosceles triangle ΔABC;

The side |AB| = |AC| implies that the base angles and sides of the triangle are equal and this can be seen in an isosceles triangle.

Given that:

  • A = a statement of assertion
  • R = reason

It is said that:

  • Assertion (A): In ΔABC, AB = AC:  if ∠B = 50°, then ∠C =  50°.
  • Reason (R): Angles opposite to equal sides of a triangle are equal.

We can see that the reason provided goes in line with the set rules for an isosceles triangle.

Therefore, we can conclude that the assertion A and reason R is both correct, and R is the correct explanation of A.

Learn more about an isosceles triangle here:

https://brainly.com/question/12105959

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