If two angles are congruent ,what is the measure of 21 if the measure of 22=50?
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If two angles are congruent ,what is the measure of 21 if the measure of 22=50?
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Answer:
45°
Step-by-step explanation:
Congruent angles have the same measurement (are the same size). If
∠
1
≅
∠
2
, then
m
∠
1
=
x
m
∠
2
=
x
holds true.
Complementary angles have a sum of
90
˚
. Thus, if
∠
1
and
∠
2
are complementary,
m
∠
1
+
m
∠
2
=
90
Substitute the equivalent forms of these angle measurements
(
x
,
x
)
.
x
+
x
=
90
Solve algebraically.
2
x
=
90
x
=
45
Each angle is
45
˚
.
Since complementary angles' sum is
90
˚
, they form a right angle.