Question

if ∠edi measures 121° what is the measure of ∠edj? #10 a) 121° c) 59° b) 31° d) 51°

Explanation:

Step1: Recall linear - angle property

Linear - pair of angles add up to 180°. $\angle EDI$ and $\angle EDJ$ form a linear pair.

Step2: Set up the equation

Let $m\angle EDI = 121^{\circ}$ and $m\angle EDJ=x$. Then $m\angle EDI + m\angle EDJ=180^{\circ}$, so $121^{\circ}+x = 180^{\circ}$.

Step3: Solve for $x$

$x=180^{\circ}- 121^{\circ}=59^{\circ}$.

Answer:

C. $59^{\circ}$