Math, asked by sanjanayeehaw, 3 months ago

In the following figure, both PLAN and TIME are parallelograms. Find the value of 'x'
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Answered by Abhidas
0

Answer:

55

Step-by-step explanation:

In parallelogram PLAN, angle P = 115 (given)

So, angle LAP = 180 - 115 = 65 (supplementary angles of a parallelogram)

Similarly, in parallelogram TIME, angle M = 60 (given)

So, angle ETI = angle M = 60 (opposite angles of a parallelogram)

Now, in LOT,

60 + angle TOL + 65 = 180 (Angle Sum Property of Triangles)

Angle TOL = 180 - 125 = 55

Hence, angle TOL is equal to 55

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