Question

In the figure below, $\angle$a = $\angle$b. Find the value of $\angle$a .

• A. 46°
• B. 67°
• C. 134°
• D. 180°

Answer 1

The correct option is B 67°


Since PQ is a line,
$\angle$a + 46° + $\angle$b = 180° (linear pair)

Given, $\angle$a = $\angle$b.
Then, 2 $\angle$a + 46° = 180°.
2 $\angle$a = 180° - 46° = 134°
$\angle$a = 67°

Hence the value of $\angle$a = 67°.