m < 1 = m < 2 = 75 degrees ( alternate angles).
Also the triangle is isosceles beause the figure is a rhombus so:-
Angle adjacent to < 2 = 75 degrees
and m < 3 = 180 - 2(75) = 180 - 150 = 30 degrees (answer)
The measure of the angle 3 will be 30°. Then the correct option is A.
It is a polygon with four sides. The total interior angle is 360 degrees. In a rhombus, opposite sides are parallel and all sides are equal.
We know that the angle 1 and angle 2 are alternate angle.
∠1 = ∠2 = 75°
We know that the angle 1 and angle 4 are equal.
∠1 = ∠4 = 75°
We know the sum of angles of a triangle is 180°.
∠1 + ∠4 + ∠3 = 180°
75° + 75° + ∠3 = 180°
∠3 = 180° – 150°
∠3 = 30°
Then the correct option is A.
More about the rhombus link is given below.
https://brainly.com/question/27870968
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