Question

in the following figures, determine the value of x and y​

Answer 1

Solution.) As you know the given triangle is an isosceles triangle that the two sides are equal . So, 37 degree = 37 degree .

To find x , we will use the exterior angle property .

Exterior angle property states that-

Exterior angle = the sum of opposite interior angles.



X = 37 + 37
X = 74 degrees .



Hope it helps you....

Answer 2

As we know that base angle of isosceles triangle are equal.

So, let the unknown angle be $y$.

Then,

$= > 37 {}^{o} + 37 {}^{o} + y = 180 {}^{o}$

$= > y = 180 {}^{o} - (37 + 37 ) {}^{o}$

$= > y = (180 {}^{o} - 74 {}^{o}) = 106 {}^{o}$

Since, angle y and angle x makes a linear pair.

Then,

$= > x + y = 180 {}^{o}$

$= > x + 106 {}^{o} = 180 {}^{o}$

$= > x = (180 - 106) {}^{o} = 74 {}^{o}$

Hence, the value of $x$ and $y$ are $74 {}^{o}$ and 106°, respectively.

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