Question

Which of the following angles when taken together can form a triangle?

• A. ${55}^{\circ }$, ${55}^{\circ }$ and ${80}^{\circ }$
• B. ${33}^{\circ }$, ${74}^{\circ }$ and ${73}^{\circ }$
• C. ${85}^{\circ }$, ${95}^{\circ }$ and ${22}^{\circ }$
• D. All of the above.

Answer 1

The correct option is B ${33}^{\circ }$, ${74}^{\circ }$ and ${73}^{\circ }$

The sum of interior angles of a triangle = ${180}^{\circ }$.
Here:
${55}^{\circ }$ + ${55}^{\circ }$ + ${80}^{\circ }$ = ${190}^{\circ }$
${33}^{\circ }$ + ${74}^{\circ }$ + ${73}^{\circ }$ = ${180}^{\circ }$
${85}^{\circ }$ + ${95}^{\circ }$ + ${22}^{\circ }$ = ${202}^{\circ }$
Hence, angles ${33}^{\circ }$, ${74}^{\circ }$ and ${73}^{\circ }$ when taken together can form a triangle.