Math, asked by 2027beauty01, 21 days ago

Two angles of a triangle are forty degrees and thirty degrees. What is the third angle of the triangle?

Answers

Answered by nibeditatripathy2020
2

Answer:

The third angle of the triangle is 110°.

Step-by-step explanation:

Ange sum property states that the sum of interior angle of triangle is equal to 180°.

180 = ( 40 + 30 + x )°

⇒ x = [180 - ( 40 + 30 )]°

      = ( 180 - 70 )°

      = 110°

Answered by PeachyRosie
2

Answer :

  • Third angle of the triangle is 110

Given :

  • Two angles of a triangle are 40 and 30

To find :

  • Third angle of the triangle

Solution :

  • Let the third angle be x
  • First angle is 40
  • Second angle is 30

As we know that

  • Sum of all angles in a triangle is equal to 180

Substituting the value :

↬ 40⁰ + 30⁰ + x = 180⁰

↬ 70⁰ + x = 180⁰

↬ x = 180⁰ - 70⁰

↬ x = 110⁰

Hence, Third angle of the triangle is 110

Verification :

↬ 40⁰ + 30⁰ + x = 180⁰

↬ 40⁰ + 30⁰ + 110⁰ = 180⁰

↬ 70⁰ + 110⁰ = 180⁰

180 = 180

Hence , Verified

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