Question

Find the measure of the numbered angles in the rhombus. The diagram is not to scale.

Answer 1

Answer:

Option D

Step-by-step explanation:

We are given that a rhombus

We have to find the measure of the numbered angles in the rhombus.

$m\angle 1=90^{\circ}$

Because diagonal of rhombus intersect at right angles to each other

$m\angle 2=41 ^{\circ}$ (Alternate interior angle theorem)

$90+41+m\angle 3=180$( triangle sum property)

$131+m\angle 3=180$

$m\angle 3=180-131$

$m\angle 3=49^{\circ}$

Therefore option D is true.

Answer 2

Okay, now it is clear. Angle 2 is 41, angle 3 is 90-41=49. the answer is D