Answer:JKL and ∠RST are complementary.
m∠JKL = 36° and m∠RST = ( x + 15)°.
Find the value of x and the measure of ∠RST .
complementary angles are two angles whose sum is 90°
36%2Bx+%2B+15=90°
51%2Bx+=90°
x+=90-51°
x+=39°
->the measure of ∠RST== ( 39 + 15)=54°
both answer and explanation
<span> allows you to </span>do<span> repeated addition quickly and efficiently</span>
Check out the attached image. I drew what I think your book is showing. The figure on the left is triangle ABC without any extended segments. The figure on the right has segment AB extended shown in red. This forms the exterior angle x
The rule that connects x, y and z together is the remote interior angle theorem. It says that adding two interior angles is going to be equal to the exterior angle that is not touching either interior angle. The "remote" part means "far away" so just think of the two angles that are furthest way or not touching the exterior angle in question.
In terms of algebra, the rule is
x+y = z