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
__
<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
Answer:
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Step-by-step explanation:
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Missing sides or angles??
If it's missing sides... Then using sine rule
A/ sin A = B/ sin B
Let sin A =30° and A=8
Let sin B=60° and B =?
Hence 8/sin 30°=B/sin 60°
Multiplying 8 x sin 60 =B sin 60
6.928 = 0. 5B
Dividing both sides by 0.5
Hence B= 13.856
doing same for side c
Let sin A =30° and A =8
Let sin c =90° and C =?
Hence 8/sin30° = C/sin 90
Sin 90° x8 =. 0.5c
Sin 90=1
1x8 =0.5c
Dividing both sides by 0.5 gives 16
Hence C=16
Answer:
True
Step-by-step explanation:
Answer:
Yes because of the way the it is.
Step-by-step explanation:
