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Find your Math Personality!
In Fig. 6.30, find the value of x.
![In Fig. 6.30, find the value of x](https://d138zd1ktt9iqe.cloudfront.net/media/seo_landing_files/in-fig-6-30-find-the-value-of-x-1650262418.png)
Solution:
Given, the figure represents a triangle.
We have to find the value of x.
AD bisects BC, so D is equal to 90 degrees.
Angle sum property of a triangle states that the sum of all three interior angles of a triangle is always equal to 180 degrees.
∠ABD + ∠BAD + ∠ADB = 180°
x + 55° + 90° = 180°
x + 145° = 180°
x = 180° - 145°
x = 35°
Therefore, the value of x is 35°.
✦ Try This: In ∆PQR, if ∠P = ∠R, and exterior angle PQX = 160°, then find the angles of the triangle.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6
NCERT Exemplar Class 7 Maths Chapter 6 Problem 108
In Fig. 6.30, find the value of x.
Summary:
In Fig. 6.30, the value of x is 35°.
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