Answer:
i think theres a typo somewhere
Step-by-step explanation:
Congruent. In other words, the angle on the inside- if that makes sense
Answer: The acute angle between diagonals is 50
Step-by-step explanation:
Red angle = 50 because An exterior angle of a triangle is equal to the sum of the opposite interior angles (pink angles).
Alternatively:
Green angle is 130 by sum of interior angles of a triangle.
Red angle is 50 by Adjacent angles
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°
Answer:
-15
Step-by-step explanation:
We have the expression 3(2p - 5) - 6p and are asked to simplify.
Let's distribute, which is to multiply a number that is outside of a parenthesis bracket by the numbers inside the parenthesis.
3(2p - 5) - 6p
(3(2p) - 3(5)) - 6p
6p - 15 - 6p
Since you can only do changes to like terms and 15 and 6p are two different terms, we do 6p - 6p.
6p - 6p
0
Leaving us with -15.
