Question

In the adjoining figure, find the measure of angle x and the measure of angle​

Answer 1

angle ACD is the exterior angle for triangle ABC.

angle ACD= 60+50=110

angle ACD+angle ACB=180

angle ACB=70

angle X is the exterior angle for triangle ECD.

angle X=70+40=110

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Answer 2

in ∆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∆CDE

Sum of angle of triangle = 180°

angle DEC = 180° - (110° + 40°)

angle DEC= 30°

X + angle DEC= 180°

X + 30° = 180°

X = 150°