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Help please i’m confused

Help please i’m confused-example-1
User DOK
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In the given parallelogram QRST the measure of angle T would be 80 degrees.

The correct answer is option 3.

In the given figure we are a parallelogram QRST.

In the parallelogram QRST a diagonal is drawn Qs as we can see it in the given figure.

We need to find the value of angle T.

So , in order to find the value of angle T first we would find the value of angle R because angle R would be equal to angle T as opposite angles of parallelogram are equal .

As we can see in the figure the diagonal has made a triangle named QRS where Q measures 66 degrees and S measures 34 degrees .

Now by using angle sum property of a triangle which states that the sum of measures of all angles of a triangle is going to equal to 180 degrees.

So in triangle QRS we can use angle sum property to find the value of R.

66 + x + 34 = 180 ( assumed angle R as x )

100 + x = 180

x = 180 - 100

x = 80

So , the measure of angle R would be 80 degrees.

As we have stated above that angle R would be equal to angle T as they both are opposite angles of a parallelogram.

So angle T = 80 degrees.

Therefore , from the given options the correct one is option 3.

User Ling Vu
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