In a scalar triangle vertex angle is 30 degree more than other two angle find each angle
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Step-by-step explanation:
If we say the vertex angle is
x
°
, we can say that each base angle is
(
x
+
30
)
°
. We know that the angles' sum is
180
°
, so we can write the following equation relating each of the angles:
x
+
(
x
+
30
)
+
(
x
+
30
)
=
180
We can then solve for
x
and determine that
3
x
+
60
=
180
, which leads to
3
x
=
120
and finally
x
=
40
, so the vertex angle is
40
°
and each base angle is
70
°
.
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