Question

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Answer 1

Answer:

1) 60° and 120°

2) 109°

3) CE = 7.2 cm

Step-by-step explanation:

1) Soln: Let the smaller angle be = x

And larger angle be = x + 60

Now,

x + 60 + x = 180°

=> 2x + 60 = 180°

=> 2x = 180° - 60

=> 2x = 120°

=> x = 120/2

=> x = 60°

Therefore, x = 60 °

x + 60 = 60 + 60

= 120°

2)Sum of the interior opposite angle = exterior angle

= 64 + 45

= 109°

3) Area of the triangle = b × h

= 9 × 6

= 54cm sq.

Now,

Area of the triangle = b × h

=> 54cm sq. = AB × CE

=> 54 = 7.5 × CE

=> 54 ÷ 7.5 = CE

=> 7.2 = CE

therefore, CE = 7.2 cm