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Sagot :
1. angle's supplement = x
the angle = 2x + 15
sum of the measure of supplementary angles = 180
Equation: x + 2x + 15 = 180
3x = 180 - 15
3x/3 = 165
x = 55 degrees the measure of the angle's supplement
2. Let angle's complement is x
the angle = x + 30
sum of the measures of complementary angles = 90
Equation: x + x+30 = 90
2x = 90 - 30
2x/2 = 60/2
x = 30, the measure of the first angles
x + 30 = 30 + 30 = 60, measure of the other angle
60 degrees and 30 degrees are the measures of complementary angles.
3. sum of the measure of the angles of triangle is 180 degrees.
The firs and second angles are equal in measure
x + x = 2x, the total of the two equal angles
2x - 36 , the measure of the third angle.
Equation:
2x + 2x - 36 = 180
4x - 36 = 180
4x = 180 + 36
4x/4 = 216
x = 54
the measure of two angles are 54 degrees each.
To get the measure of the third angle:
2(54) - 36 = third angle
108 - 36 = 72 degress
The measure of the angles of the triangle are:
54 degrees, 54 degrees, and 72 degrees. Their total is 180 degrees.
the angle = 2x + 15
sum of the measure of supplementary angles = 180
Equation: x + 2x + 15 = 180
3x = 180 - 15
3x/3 = 165
x = 55 degrees the measure of the angle's supplement
2. Let angle's complement is x
the angle = x + 30
sum of the measures of complementary angles = 90
Equation: x + x+30 = 90
2x = 90 - 30
2x/2 = 60/2
x = 30, the measure of the first angles
x + 30 = 30 + 30 = 60, measure of the other angle
60 degrees and 30 degrees are the measures of complementary angles.
3. sum of the measure of the angles of triangle is 180 degrees.
The firs and second angles are equal in measure
x + x = 2x, the total of the two equal angles
2x - 36 , the measure of the third angle.
Equation:
2x + 2x - 36 = 180
4x - 36 = 180
4x = 180 + 36
4x/4 = 216
x = 54
the measure of two angles are 54 degrees each.
To get the measure of the third angle:
2(54) - 36 = third angle
108 - 36 = 72 degress
The measure of the angles of the triangle are:
54 degrees, 54 degrees, and 72 degrees. Their total is 180 degrees.
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