Answer:
64 degrees
Step-by-step explanation:
Since the triangles are similar they have the same angle measures
∠P = ∠S ∠R =∠U ∠Q=∠T
We know 2 of the angle measures: ∠S and ∠R, and since they are similar we know ∠P and ∠U
In triangles the sum of all angle measures is always 180 degrees, so we can solve for ∠Q with this formula
subtract 116 from both sides
Therefore ∠Q is equal to 64 degrees
11.) 1.5
12.)17 1/2
13.)543
533+10
( Just remember absolute value.)
14.)$ 75.15
Answer:
They are congruent by SAS (Side Angle SIde) test or congruence criterion
Since,
In triangle ABD and triangle BCD
AB = BC (Given)
BD = DB(Common Side)
Angle ABD = Angle CBD
Therefore triangle ABD and triangle BCD by SAS (Side Angle SIde) test or congruence criterion
Answer:
Angle, 
Step-by-step explanation:
We have, an A-frame house is 45 feet high and 32 feet wide. It is required to find the measure of the angle that the roof makes with the floor.
The attached figure shows the A frame. Let 
is the angle that the roof makes with the floor. So,
So, the angle of 70.4 degrees is the angle that the roof makes with the floor.
