What is the measure of the complement of a 67 degree angle?
The measure of the vertex angle of an isosceles triangle is 58. What is the measure of one of the base angles?
To find the measure of the complement of a given angle, you need to subtract the measure of the angle from 90 degrees, as the sum of an angle and its complement is always 90 degrees.
For the first question, to find the complement of a 67-degree angle, you subtract 67 from 90:
90 - 67 = 23
Therefore, the measure of the complement of a 67-degree angle is 23 degrees.
For the second question, you can use the properties of an isosceles triangle to find the measure of one of the base angles. In an isosceles triangle, the base angles are congruent, which means they have the same measure.
Given that the vertex angle of the isosceles triangle is 58 degrees, this means that each base angle has the same measure as well. So to find the measure of one of the base angles, you can divide the measure of the vertex angle by 2:
58 / 2 = 29
Therefore, the measure of one of the base angles in the isosceles triangle is 29 degrees.