Question

If $(x-2{)}^{\circ }$ and $(2x+5{)}^{\circ }$ are supplementary angles, then the value of $x$ is

• A. ${57}^{\circ }$
• B. ${63}^{\circ }$
• C. ${61}^{\circ }$
• D. ${59}^{\circ }$

Answer 1

The correct option is D ${59}^{\circ }$

As $(x-2{)}^{\circ }$ and $(2x+5{)}^{\circ }$ are supplementary angles, so
$(x-2{)}^{\circ }+(2x+5{)}^{\circ }={180}^{\circ }\Rightarrow 3x+3^{\circ }={180}^{\circ }\Rightarrow x={59}^{\circ }$