In an oblique triangle, the measure of side a, b, and c are 4 units, 8 units, and 5 units, respectively. Find the angle measure in degrees of angle A
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Answer:
The sum of the measures of all the angles in a triangle is always equal to
180
o
.
In a right triangle, however, one of the angles is already known: the right angle, or the
90
o
angle.
Let the other two angles be
x
and
y
(which will be acute).
Applying these conditions, we can say that,
x
+
y
+
90
o
=
180
o
x
+
y
=
180
o
−
90
o
x
+
y
=
90
o
That is, the sum of the two acute angles in a right triangle is equal to
90
o
.
If we know one of these angles, we can easily substitute that value and find the missing one.
For example, if one of the angles in a right triangle is
25
o
, the other acute angle is given by:
25
o
+
y
=
90
o
y
=
90
o
−
25
o
y
=
65
o
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