Question

Find ∆CED and ∆BDE in the following fig.

Answer 1

Answer: angleBED = 129°

Angle CDE=74°

Step-by-step explanation:

since

Sum of angles of a triangle = 180°

Angle BAE+ angleABE+ angle BEA= 180°

31°+98°+angle BEA=180°

129°+angle BEA=180°

angle BEA= 180°-129°

Angle BEA= 51°

Since

Sum of angles in a straight line=180

Angle BAE +angle BED=180

51+angle BED=180

Angle BED= 180-51

angle BED= 129

Similarly

Angle EBC=180-98

angle EBC = 82

Since

Sum of angles of a quadrilateral=360

AngleEBC+angleBED+angleBCD+angleCDE=

360

82+129+75+angle CDE=360

286+angleCDE=360

Angle CDE=360-286

Angle CDE=74