Two congruent, isosceles triangles are joined, as shown, to form a parallelogram.
1 answer:
Answer:
a =64 °and b = 52°
Step-by-step explanation:
as 360° is the sum of all the internal angles.
As we have 4 a's and 2 b's.(see attachment for the figure).
We write the equation:
4 a + 2b = 360 ---> eq(1)
We are given that the largest angle of the parallelogram is 116º.
So a + b = 116
a= 116-b ---> eq(2)
substituting the above value in eq(1)
(1) => 4( 116-b) + 2b = 360
464 - 4b + 2b = 360
-2b = 360- 464
-2b = -104
b=52
plugging the value of b in eq (2)
(2)=>
a= 116- 52
a= 64
Thus, the values of a is 64 °and b is 52°
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