Answer:
128 degrees.
Step-by-step explanation:
I am assuming that the figure is a rhombus.
If so the 2 triangles are both isosceles and therefore:
m < 2 = 180 - 2(26)
= 180 - 52
= 128 degrees.
The measure of angle 2 is equal to the measure of angle 3. The value of measure of angle 2 is 128 degrees.
Rhombus is a closed shaped quadrilateral polygon in which all the sides are equal and opposites sides are parallel. The opposite angles of a rhombus is equal.
Given information-
The measure of one of the angle is 26 degrees.
The shape given in the figure is of rhombus.
Given figure represent the rhombus. As the opposite angles of a rhombus is equal. Thus the measure of angle 4 is equal to the measure of the angle 1 as,
[tex]m\angle 1=m\angle 4=26[/tex]
In the triangle made with angle 26 degrees, angle 2 and angle 1 is a isosceles triangle in which two sides are equal.
Now in a isosceles triangle the sum of all the interior angle is equal to the 180 degrees. Thus,
[tex]m\angle 2+m\angle 1+26=180\\m\angle 2+26+26=180\\m\angle 2=180-26-26\\m\angle 2=128^o[/tex]
Thus the measure of angle 2 is 128 degrees.
Learn more about rhombus here;
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