3.find the value of x in each of the following diagrams:
Class_7th
Chapter_ triangles and its properties
Don't spam ❌❌
Share
3.find the value of x in each of the following diagrams:
Class_7th
Chapter_ triangles and its properties
Don't spam ❌❌
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
There are 2 methods to solve this question.
First Method:
We know that sum of 2 angles on a straight line is 180°
This is known as 'Linear Pair of Angles'
Applying Linear Pair of angles,
∠ACB + ∠ACD = 180
⇒ ∠ACB + 105° = 180°
⇒ ∠ACB = 180° - 105°
⇒ ∠ACB = 75°
In ΔABC,
∠BAC + ∠ABC + ∠ACB = 180°
⇒ 2x + x + 75° = 180° [∵ ∠ACB = 75°]
⇒ 3x + 75° = 180°
⇒ 3x = 105°
⇒ x = 105 ÷ 3
∴ x = 35°
Second Method:
Applying Exterior Angle Property,
∠BAC + ∠ABC = ∠ACD
⇒ 2x + x = 105°
⇒ 3x = 105°
⇒ x = 105° ÷ 3
∴ x = 35°
Know More:
Exterior Angle Property states that the Exterior angle is equal to the sum of opposite interior angles.
Verified answer
Answer:
x+2x = 105 (this is s property of triangle that external like this is equal to the sum of opposite two angles)
3x=105
x=35