Answer:
Step-by-step explanation:
Given two congruent, isosceles triangles are joined, as shown, to form a parallelogram, the largest angle of the parallelogram is 116 degrees. Write two equations. Write them find the value of a and the value of b.
We know that the sum of all the internal angles is 360 degree. So the equation will be
4 a + 2b = 360
According to the question the largest internal angle of the parallelogram is 116 degree. So a + b = 116
Now we have the two equations as
4a + 2b = 360
a + b = 116
Multiply the second equation by 4 we get
4a + 2b = 360
4a + 4b = 464
Or – 2b = - 104
Or b = 52
Now a + b = 116
Or a + 52 = 116
Or a = 116 – 52
Or a = 64
Therefore the values of a and b are 64 and 52 degrees
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