Question

In the Adjoining figure,find the measure of angle x​

Answer 1

In triangle ABC

Angle ACB+ Angle ABC + angle BAC =, 180° (sum of angle of triangle

Angle ACB=180°-(60° +50° )

angle ACB = 70°

By straight angle

angle DCE + angle ACB = 180 °

angle DCE = 180 ° - 70° = 110°

In triangle ️ CDE

Sum of angle of ngle = 180 °

angle DEC = 180 ° - (110 ° + 40°)

angle DEC = 30 °

x+ angle DEC = 180 °

x+ 30 degrees = 180°

x = 150 degrees