Question

Decide whether JKLM is similar to NPRS. Explain your reasoning.

Answer 1

The sum of the angle measures in a quadrilateral is 360°. Using this fact, you can determine that the missing angle measures are ∠J = 95° and ∠P = 60°. So, the corresponding angles of the quadrilaterals are congruent. Also each side of the larger quadrilateral is 3 times as long as the corresponding side length of the smaller quadrilateral. So, the side lengths are proportional. Therefore, JKLM is similar to NPRS.

∠J = 360° - 140° -65° -60° = 95° = ∠N

... ⇒ ∠P = ∠K = 60°

Answer 2

Yes similar because the sum of the angle is 360 how to know its 360 use the formula
(n-2) x 180 = so
(4-2) x 180 =360
angle for J (140+65+60+j)=360
j=95
angle for p(140+95+65+p)=360
p=60