Answer:
m ∠C = 65°
m ∠D = 25°
Step-by-step explanation:
- the sum of interior angles of a triangle is 180°
angle D and 155° make a straight angle
that's mean you can measure angle D
the measure of angle D is :
180 (straight angle) - 155 = 25
so D is 25°
now you have the measure of two angles
- 90° or quadrant angle
- 25° or ∠D
you can measure the third angle
remember the sum of interior angles of a triangle is 180°
a triangle has three angle
so to find the measure of third angle = the sum of all angles - the sum of two angles
180 - (90 + 25) = 65
the measure of angle D is 65°
well you have the measure of all angles
- 90° or quadrant angle
- 25° or ∠D
- 65° or ∠C
m ∠C = 65°
m ∠D = 25°
