21 degrees
90 - 42 ie 48o
Each exterior angle is 360/42 = 8.571429 degrees So each interior angle is 180 - 8.571429 = 171.4286 degrees.
If you are dealing with an isosceles triangle, if one of the base angles measures 42 degrees then the other base angle measures 42 degrees. (By definitioin an isosceles triangle has at least 2 equal sides and the angle opposite those sides with be equal.) If you add up the degrees in each angle within a triangle, it will always equal 180 degrees. Knowing all this you can set up a formula: Angle 1 + Angle 2 + Angle 3 = 180 42 + 42 + Angle 3 = 180 Angle 3 = 96 degrees
96˚all angles to a triangle equals 180˚
Since all triangles are 180 degrees, and since you now that the sum of two of the three angles is 132, you just have to subtract that from 180 to get 48 for the final angle's measure.
32 degrees
To find the measure of angle 5, we can use the relationship between the arcs and the angles they subtend. If angle 5 subtends arc BC, then the measure of angle 5 is half the measure of arc BC. Therefore, angle 5 would measure ( \frac{42}{2} = 21 ) degrees. If angle 5 relates to arc DE, further information is needed to determine its measure.
22
It is: 180-42 = 138 degrees
41
90 - 42 ie 48o
The vertex angle of an isosceles triangle is equal to the measure of each of its base angles. Therefore, if one of the base angles measures 42 degrees, then the vertex angle also measures 42 degrees.
8.57 degrees
The complement of an angle is found by subtracting its measure from 90 degrees. For an angle measuring 48 degrees, the complementary angle is 90 - 48, which equals 42 degrees. Therefore, the complement of a 48-degree angle is 42 degrees.
To find the measure of angle HLJ, we can use the fact that the sum of the angles in triangle HLI must equal 180 degrees. Therefore, angle HLJ can be calculated as follows: Angle HLJ = 180° - (angle ILJ + angle HLI) = 180° - (42° + 45°) = 180° - 87° = 93°. Thus, the measure of angle HLJ is 93 degrees.
69 degrees 180-42 = 138 138/2 = 69 degrees You do not need the measure of the side to derive the answer.
Each exterior angle is 360/42 = 8.571429 degrees So each interior angle is 180 - 8.571429 = 171.4286 degrees.