In triangle Pqr measure angle P +measure angle Q +measure angle R=_
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0
Answer:
180°is the total measure of the angle p+q+r
Answered by
0
Step-by-step explanation:
the sum of measures of these three angles of any triangle is invariably equal to the straight angle, also expressed as 180°"
From the problem we can write:
Q
=
5
R
We can also write from Geometry, the sum of the three angles is 180 degrees, or:
P
+
Q
+
R
=
180
We can substitute
36
for
P
and we can substitute
5
R
for
Q
and solve for
R
:
36
+
5
R
+
R
=
180
36
+
5
R
+
1
R
=
180
36
+
(
5
+
1
)
R
=
180
36
+
6
R
=
180
−
36
+
36
+
6
R
=
−
36
+
180
0
+
6
R
=
144
6
R
=
144
6
R
6
=
144
6
6
R
6
=
24
R
=
24
Substituting
24
for
R
in the the equation for the relationship and calculating
Q
gives:
Q
=
5
R
becomes:
Q
=
5
⋅
24
Q
=
120
Angle
Q
is 120 degrees and angle
R
is 24 degrees.
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