The measure of angle R is 152° and the measure of angle S is 65°, find the measure of angle T.

Question

anonymous · Answer

Might need a picture for this one. Theway this question is stated Angle t can have any value.

anonymous · Answer

attachment

anonymous · Answer

Ok so if you draw the line segment RT what can you say about the two triangles that are made by drawing line segment RT?

anonymous · Answer

would they be congruent?

anonymous · Answer

Yes since by SSS! So what can you say about Angle U and angle S?

anonymous · Answer

they are the same

anonymous · Answer

Yep and what do you know about the sum of the measures of the interior angles of all quadrilaterals?

anonymous · Answer

equal?

anonymous · Answer

Nope...They add up to a certain number of degrees. What is that number?

anonymous · Answer

540

anonymous · Answer

No. Do you know the sum of the angles of a triangle?

anonymous · Answer

180

anonymous · Answer

Right and how many triangles make up the figure in your problem?

anonymous · Answer

2

anonymous · Answer

Yep so how many degrees is the sum of the angles in a quadrilateral?

anonymous · Answer

360

anonymous · Answer

You got it. So now since you know the size of three of the four angles and what the four angles should add up to. You should be all set.