    Question

# Assertion (A) : If two internal opposite angles of a triangle are equal and external angle is given to be 110°, then each of the equal internal angle is 55°. Reason (R) : A triangle with one of its angle 90°, is called a right triangle. [2 marks]

A
Both A and R are true, and R is the correct explanation for A.
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B
Both A and R are true, and R is not the correct explanation for A.
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C
A is true but R is false.
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D
A is false but R is true.
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Solution

## The correct option is B Both A and R are true, and R is not the correct explanation for A.The correct option is B. Consider assertion (A) statement. The external angle of a triangle = sum of opposite interior angles. It is given that two interior opposite angles of a triangle are equal. [0.5 marks] Let x be the measure of each of the interior opposite angles. 110° = x + x (by exterior angle property) 110° = 2x 55° = x Consider reason (A) statement. [0.5 marks] A triangle with one of its angle 90°, is called a right triangle. A and R both are correct, but the R is not an explanation of the A. Hence, option (B) is the correct answer. [1 mark]  Suggest Corrections  0      Related Videos   Vertically Opposite Angles
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