Q. 54.9( 24 Votes )

# In the adjacent triangle ABC, find the value of x and calculate the measure of all the angles of the triangle.

Given:

A = x + 15, B = x - 15, C = x + 30

As we know, using theorem (1), in any triangle, sum of the three interior angles is 180°.

So,

A + B + C = 180°

x +15 + x – 15 + x + 30 = 180°

3x + 30° = 180°

3x = 180° - 30°

3x = 150°

x = 50°

So, the angles are,

A = x + 15 = 50° + 15° = 65°

B = x - 15 = 50° - 15° = 35°

C = x + 30 = 50° + 30° = 80°

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Extras on Probability44 mins
NCERT | Imp. Qs. on Mensuration46 mins
Champ Quiz | Important Qs. on Petroleum30 mins
More on Calculation Hacks40 mins
Operations on Algebraic Expressions51 mins
NCERT | Discussion on Sound44 mins
NCERT | Discussion on Factorization44 mins
NCERT | Imp. Qs. on Percentage41 mins
Quiz | Rapid Fire on Sound31 mins
Quiz | Imp. Qs. on Light36 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses