Question

Mayor Modulus needs to build a right triangle shaped playground. Which of the following sets of interior angles can form a triangle?

$A.{45}^{\circ },{35}^{\circ },{90}^{\circ }$
$B.{60}^{\circ },{60}^{\circ },{60}^{\circ }$
$C.{70}^{\circ },{90}^{\circ },{20}^{\circ }$

• A. A
• B. B
• C. C

Answer 1

The correct option is C C

Concept: Sum of all three interior angles of a triangle is $180$ degree.
A right triangle has one angle of ${90}^{\circ }$

For A, sum of interior angles $={45}^{\circ }+{35}^{\circ }+{90}^{\circ }={170}^{\circ }$

For B, sum of interior angles $={60}^{\circ }+{60}^{\circ }+{60}^{\circ }={180}^{\circ }$

For C, sum of interior angles $={70}^{\circ }+{90}^{\circ }+{20}^{\circ }={180}^{\circ }$

So, Angles of measure ${70}^{\circ },{90}^{\circ },{20}^{\circ }$ can form a right triangular shaped playground.