Answer:
∠A = ∠C = 60°
∠B = ∠D = 120°
Step-by-step explanation:
In quad. DPBQ, by angle sum property we have
∠PDQ + ∠DPB + ∠B + ∠BQD = 360°
60° + 90° + ∠B + 90° = 360°
∠B = 360° – 240°
Therefore, ∠B = 120°
But ∠B = ∠D = 120° opposite angles of parallelogram
As, AB || CD opposite sides of a parallelogram
∠B + ∠C = 180° sum of adjacent interior angles is 180°
120° + ∠C = 180°
∠C = 180° – 120° = 60°
Hence ∠A = ∠C = 60° Opposite angles of parallelogram are equal
Answer:

Step-by-step explanation:
According to the trigonometric ratios in aright triangle :

Given: ΔBCA ~ ΔSTR
Since , corresponding angles of two similar triangles are equal.
So, ∠C = ∠T ...(i) [Middle letter]
In triangle STR
...(ii)
From (i) and (ii), we have

Answer:
The point slope formula states (y-y1)=m(x-x1)
Where m is the slope and (x1 y1) is a point the line passes through
Substituting the point and slope from the problem give
(y-5)=-2(x-3) ~answer
Answer:
x=42
Step-by-step explanation:
Just do 24/32 on calculator to get .75
Then multiply .75 by 56, the side you are looking for to get 42
Answer:
it's 40, 88, 82, 46, 56, 60, 17, 60, 27, 17