Answer: I believe it would be $600
Step-by-step explanation:
Answer:
∠RPQ = 27
Step-by-step explanation:
In ΔSRQ,
∠R = 90
∠SQR = 36°
∠R + ∠SQR + ∠RSQ = 180 {Angle sum property of triangle}
90 + 36 + ∠RSQ = 180
126 + ∠RSQ = 180
∠RSQ = 180 - 126
∠RSQ = 54°
∠PSQ +∠RSQ = 180 {Linear pair}
∠PSQ + 54 = 180
∠PSQ = 180 - 54
∠PSQ = 126
In ΔPSQ,
SQ = PS ,
So, ∠SQP = ∠SPQ {Angles opposite to equal sides are equal}
∠SQP = ∠SPQ =x
∠PSQ + x +x = 180 {Angle sum property of triangle}
126 + 2x = 180
2x = 180 - 126
2x = 54
x = 54/2
x = 27
∠RPQ = 27°
To find a missing angle of a quadrilateral first
know what a quadrilateral equals, in this case, it equals 360 degrees
now take
82+114+95= 291
then take
360-291= 69
the 4th angle is 69 degrees
hope this helps!
Remember that
Thus, we can solve for x.
x + 22 = 90 - (2x - 7)
x + 22 = 97 - 2x
3x + 22 = 97
3x = 75
x = 25
