Question

Plz answer this question ​

Answer 1

Solution :-

As the given the figure , We have to find the knowns in given diagram

Unknowns are a,b,d

Concept to know for solving this problem:-

• Vertical angles (or) Intersecting angles are equal

• Sum of angles in Triangle is 180°

• Linear pair is nothing but Sum of two angles is 180°

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Lets do !

In Triangle ABC ,

D forms a linear pair With C

Hence C + D = 180°

40° + D = 180°

D = 180° - 40°

D = 140°

As we know Vertical angles or Intersecting angles are equal

80° is opposite to A or 80° is vertical to A

So,

A = 80°

As , We know Sum of angles in Triangle is 180°

In triangle ABC

A + B + C = 180°

80° + B + 40° = 180°

120° + B = 180

B = 180°-120°

B = 60°

So, values of knowns in Given figure

• A = 80°
• B = 60°
• D = 140°