Find the value of the unknown interior angle x in the following figures:
Solution:
We know that according to the exterior angle theorem, the exterior angle of a triangle is the sum of interior opposite angles.
By using this fact, we can find the unknown interior angle.
(i) Exterior angle is 115°
Exterior angle = sum of interior opposite angles
115° = 𝑥 + 50°
115° − 50° = 𝑥
𝑥 = 65°
(ii) Exterior angle is 100°
Exterior angle = sum of interior opposite angles
100° = 𝑥 + 70°
𝑥 = 100° − 70°
𝑥 = 30°
(iii) Exterior angle is 125°
Exterior angle = sum of interior opposite angles
125° = 𝑥 + 90°
𝑥 = 125° − 90°
𝑥 = 35°
(iv) Exterior angle is 120°
Exterior angle = sum of interior opposite angles
120° = 𝑥 + 60°
𝑥 = 120° − 60°
𝑥 = 60°
(v) Exterior angle is 80°
Exterior angle = sum of interior opposite angles
80° = 𝑥 + 30°
𝑥 = 80° − 30°
𝑥 = 50°
(vi) Exterior angle is 75°
Exterior angle = sum of interior opposite angles
75° = 𝑥 + 35°
𝑥 = 75° − 35°
𝑥 = 40°
☛ Check: NCERT Solutions for Class 7 Maths Chapter 6
Video Solution:
Find the value of the unknown interior angle x in the following figures:
NCERT Solutions for Class 7 Maths Chapter 6 Exercise 6.2 Question 2
Summary:
The value of the unknown interior angle x in the following figures are: (i) 𝑥 = 65°, (ii) 𝑥 = 30°, (iii) 𝑥 = 35°, (iv) 𝑥 = 60°, (v) 𝑥 = 50°, (vi) 𝑥 = 40°
☛ Related Questions:
- In Pqr D Is The Mid Point Of Qr Pm Is Pd Is Is Qm Mr
- Draw Rough Sketches For The Following I In Abc Be Is A Median Ii In Pqr Pq And Pr Are Altitudes Of The Triangle Iii In Xyz Yl Is An Altitude In The Exterior Of The Triangle
- Verify By Drawing A Diagram If The Median And Altitude Of An Isosceles Triangle Can Be Same
- Find The Value Of The Unknown Exterior Angle X In The Following Diagrams