Question

What is the least number of ${35}^{\circ }$ angles you would need to make a reflex angle?

• A. 4
• B. 5
• C. 6
• D. 7

Answer 1

The correct option is C 6

$\begin{array}{cc}\text{Type of angle}& \text{Description}\\ \text{Acute angle}& \text{Less than}{90}^{\circ }\\ \text{Right angle}& \text{Equal to}{90}^{\circ }\\ \text{Obtuse angle}& \text{Greater than}{90}^{\circ }\\ & \text{\& less than}{180}^{\circ }\\ \text{Straight angle}& \text{Equal to}{180}^{\circ }\\ \text{Reflex angle}& \text{Greater than}{180}^{\circ }\\ & \text{\& less than}{360}^{\circ }\end{array}$

Now, $4\times {35}^{\circ }={140}^{\circ },$ which is between ${90}^{\circ }$ and ${180}^{\circ },$ and is hence, obtuse.

$5\times {35}^{\circ }={175}^{\circ },$ which is between ${90}^{\circ }$ and ${180}^{\circ },$ and is again , obtuse.

$6\times {35}^{\circ }={210}^{\circ },$ which is between ${180}^{\circ }$ and ${360}^{\circ },$ and is hence, obtuse.

Now, $7\times {35}^{\circ }={245}^{\circ },$ which is also between ${90}^{\circ }$ and ${180}^{\circ },$ and is hence, obtuse.

$\therefore$ The least number of ${35}^{\circ }$ angles you need to mak a reflex angle is 6.