In this worksheet, we will practice completing geometric proofs using the angle sum of a triangle and finding interior and exterior angles of triangles.

Q1:

In the given figure, if ,
,
and ,
find the measure of .

Q2:

In the following triangle , if
and
, find .

Q3:

In a triangle , if , what type of angle is the interior angle at vertex ?

AReflex

BObtuse

CAcute

DRight

Q4:

In a triangle , if , what type of angle is the exterior angle at vertex ?

Aright

Breflex

Cacute

Dobtuse

Q5:

In the given figure, find the measure of the interior angle .

Q6:

In the given figure, find the measure of the exterior angle .

Q7:

Find the measure of .

Q8:

Find the measure of .

Q9:

The figure shows the exterior angles of a given triangle. Find the sum of the exterior angles.

Q10:

What is the sum of the measures of the exterior angles of a triangle?

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