Question

In the figure give CARE and CLIP are two parallelogram find the unknown a band c?​

Answer 1

In //grm CARE AND CLIP:

=> angle CAR = angle CER= 120° = b ( OPPOSITE ANGLE OF //GRM ARE EQUAL)

=> angle CEP + angle CER= 180° ( LINEAR PAIR )

angle CEP + 120° = 180°

angle CEP = 180-120

So, angle CEP = 60°

=> angle PCE + angle CEP = angle CPI ( EXTERIOR ANGLE PROPERTY )

angle PCE + 60° = 130°

angle PCE = 130° - 60°

angle PCE = 70° = C

=> angle a + angle CPI = 180°( ADJACENT ANGLES OF PARALELLOGRAM ARE EQUAL TO 180°)

angle a + 130°= 180°

angle a = 180° - 130°

angle a= 50°

Therefore,angle a=50°

b = 120°

c = 70°