Question

two congruent isosley triangles are joined as shown to form a pallalelagram the lagest angle of the palololagram is 116Write 2 equationssolve them to find the value of a and b

Answer 1

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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