jcultr4s3nse
17.06.2021 •
Mathematics
In ΔPQR,
P
R
‾
PR
is extended through point R to point S,
m
∠
Q
R
S
=
(
7
x
+
8
)
∘
m∠QRS=(7x+8)
∘
,
m
∠
R
P
Q
=
(
x
+
12
)
∘
m∠RPQ=(x+12)
∘
, and
m
∠
P
Q
R
=
(
3
x
+
20
)
∘
m∠PQR=(3x+20)
∘
. Find
m
∠
R
P
Q
.
m∠RPQ
Solved
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Ответ:
9514 1404 393
m∠RPQ = 20°
Step-by-step explanation:
Exterior angle QRS is equal to the sum of interior angles RPQ and PQR.
7x +8 = (x +12) +(3x +20)
3x = 24 . . . . . . . . . . . . . . . . . . subtract 4x+8
x = 8
m∠RPQ = (x+12)° = (8+12)°
m∠RPQ = 20°
Ответ:
a. 6:15
b. 9:16