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Mathematics

Grade-8

Easy

Question

Find the measure of the missing angle x of the triangle.

28^o
45^o
36^o
27^o

hint Hint:

We know the angles opposite to equal sides are equal.
angle EBD and angle ABC are vertically opposite angles.

The correct answer is: 36^o

Given that AC=BC;
We know the angles opposite to equal sides are equal.
So, angle BAC = angle ABC
angle EBD and angle ABC are vertically opposite angles.
A pair of vertically opposite angles are equal in measure.
So, angle EBD = angle ABC
angle x = 36.
So, the measure of angle x is 36.

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