Question

The two figures below are congruent. Find the measure of the angle that isn't labeled on either figure.

Answer 1

Step 1: Since this figure has 4 sides, the total degree will be 360 degrees.

Step 2: Create Equation: 41+86+133+x= 360

Step 3: Solve it: you will get the final answer of x=100

Answer 2

Answer:  The answer is 100°.

Step-by-step explanation:  We are given that the figures in the picture are congruent. Therefore, we will have

∠A = ∠J = 133°,

∠D = ∠M = 86°,

∠C = ∠L =41°.

We are to find the measurement of the fourth angle, which is ∠B or ∠K.

Since the figures are quadrilaterals, so the um of all the four angles must be 360°.

In quadrilateral ABCD, we have

$\angle A+\angle B+\angle C+\angle D=360^\circ\\\\\Rightarrow 133^\circ+\angle B+41^\circ+86^\circ=360^\circ\\\\\Rightarrow 260^\circ+\angle B=360^\circ\\\\\Rightarrow \angle B=100^\circ.$

Thus, the answer is ∠B = ∠K =100°.