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Find the value of x.
X
65°

Find the value of x. X 65°-example-1
User HalliHax
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1 Answer

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Given a triangle with one angle measuring 65 degrees and two equal sides, applying angle sum property and vertically opposite angles helps find angles in both triangles. Resulting in x = 80 degrees.

Observing the figure imagine there are 2 triangles , so in the first triangle we are given the measure of one angle which measures 65 degrees and we are also given that the 2 sides are equal in the figure.

So , as those 2 sides are equal we can say that the opposite angles are also equal making another angle measure 65 degrees.

Now , we can use the angle sum property to find out the measure of the remaining angle.

65 + 65 + y = 180 ( assuming that one angle is y )

130 + y = 180

y = 50

Now , clearly we can see that y forms a vertically opposite angles with the second triangle so the measure of that angle would be 50 degrees.

And we also can see that 2 sides are given equal so the 2 opposite angles will be equal

So , by this we have found the measure of 2 angles of the second triangle and we are now supposed to find the value of x .

By using angle sum property of a triangle we can find that value.

50 + 50 + x = 180

x = 80 .

So , the measure of x is going to be 80 degrees.

User GermanK
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