Question

14. The angles of a triangle are x, x + 15" and 2x – 15°. Find the smallest angle of
triangle
(Hint: Since, the sum of three angles of a triangle is always 180",
x + (x + 16) + (2x 15%) = 180°​

Answer 1

Answer:

The three angles of the triangle are 45°, 60° and 75°

Step-by-step explanation:

sum of all angles of a triangle is 180°

so ​x + (x + 15) + (2x -15) = 180°

Solve the equation

=> x + x+ 2x + 15 - 15 = 180°

=> 4x + [15-15] = 180°

=> 4x + 0 + 180°

=> 4x = 180

=> Transposing 4 to RHS

=> x = $\frac{180}{4}$

=> x = 37.5

=> x = 45

As the angles are x, x + 15 and 2x – 15°, the measures are-

x° = 45°

x + 15° = 60°

2x – 15° = 75°

Answer- The three angles of the triangle are 45°, 60° and 75°

HOPE IT HELPS :D :D

PLS MARK BRAINLIEST COZ I HAVE GIVEN QUITE  A GOOD ANSWER....AND I AM ONLY IN GRADE 7