Answer:
Step-by-step explanation:
9514 1404 393
Explanation:
<h3>8.</h3>
An exterior angle is equal to the sum of the remote interior angles. Define ∠PQR = 2q, and ∠QPR = 2p. The purpose of this is to let us use a single character to represent the angle, instead of 4 characters.
The above relation tells us ...
∠PRS = ∠PQR +∠QPR = 2q +2p
Then ...
∠TRS = (1/2)∠PRS = (1/2)(2q +2p) = q +p
and
∠TRS = ∠TQR +∠QTR . . . . . exterior is sum of remote interior
q +p = (1/2)(2q) +∠QTR . . . . substitute for ∠TRS and ∠TQR
p = ∠QTR = 1/2(∠QPR) . . . . . subtract q
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<h3>9.</h3>
For triangle ABC, draw line DE parallel to BC through point A. Put point D on the same side of point A that point B is on the side of the median from vertex A. Then we have congruent alternate interior angles DAB and ABC, as well as EAC and ACB. The angle sum theorem tells you that ...
∠DAB +∠BAC +∠CAE = ∠DAE . . . . a straight angle = 180°
Substituting the congruent angles, this gives ...
∠ABC +∠BAC +∠ACB = 180° . . . . . the desired relation
5 because 14x5 equals 70 and you add the 1 blue paint each time so it’d be 75 total
Answer:
x = 5
y = 46
z = 88
Step-by-step explanation:
x is opposite one of the equal base angles. The other side is marked 5. Therefore x = 5
y is opposite one of the equal sides. It is an angle. It is equal to the other base angle whose measurement is given. y = 46
y + 46 + z = 180 All triangles have 180 degrees. y = 46 (above)
46 + 46 + z = 180
92 + z = 180 Subtract 92
z = 180 - 92
z = 88
Answer:
the answer is C
Step-by-step explanation:
