Angles of similar triangles practice connexus
1. Find the value of x in the following pair of similar triangles:
Triangle ABC: Angle A = 30 degrees, Angle B = 60 degrees
Triangle DEF: Angle D = 40 degrees, Angle E = x degrees
Solution: Since the triangles are similar, the corresponding angles are equal. Thus, x = 60 degrees.
2. In a pair of similar triangles, the measure of Angle A is 45 degrees. If Angle B in Triangle ABC is 75 degrees, find the measure of Angle D in Triangle DEF.
Solution: Since the triangles are similar, the corresponding angles are equal. Thus, Angle D = Angle B = 75 degrees.
3. In a pair of similar triangles, Angle A in Triangle ABC is 20 degrees. If Angle C in Triangle ABC is 60 degrees, find the measure of Angle E in Triangle DEF.
Solution: Since the triangles are similar, the corresponding angles are equal. Thus, Angle E = Angle C = 60 degrees.
4. In Triangle ABC with Angle A = 35 degrees, Angle B = 45 degrees, and Angle C = x degrees, find the value of x.
Solution: The sum of all angles in a triangle is 180 degrees. Therefore, x = 180 - (35 + 45) = 100 degrees.
5. In a pair of similar triangles, angle A is 40 degrees in Triangle ABC and angle D is 80 degrees in Triangle DEF. Find the measure of angle B in Triangle ABC.
Solution: Since the triangles are similar, the corresponding angles are equal. Thus, Angle B = Angle D = 80 degrees.