Question

In the triangle ABC,

$1)\angle 6=\angle A+\angle B2)\angle 5=\angle A+\angle B$

• A. 1) is true
• B. 2) is true
• C. Both are correct
• D. None of these

Answer 1

The correct option is C Both are correct

An exterior angle of a triangle is always equal to the sum of its two opposite interior angles.
For $\angle$6 and $\angle$ 5 which is an exterior angle, $\angle$ A and $\angle$ B are two opposite interior angles.
Hence, $\angle$ 6 = $\angle$ A + $\angle$ B and $\angle$ 5 = $\angle$ A + $\angle$ B
Both 1) and 2) are correct.