Question

Find the values of x if the three angles of a triangle are

(a) 7x, 3x, 2x
(b) 3x, x/2, 5x/2

plz step by step ​

Answer 1

Answer:

a) 105°, 45° and 30°

b) 90°, 15° and 75°

Step-by-step explanation:

a) given,

7x, 3x, 2x

By angle sum property of the triangle

=> 7x+3x+2x =180°

=> 12x =180°

=> x =180°/12

=> x =15°

therefore the three angles are 7×15° =105°,3×15°=45° and 2×15° =30°

b) By angle sum property of the triangle

=> 3x+x/2+5x/2 =180° [ take LCM of the denominators]

=> 12x/2 =180°

=> x/2 = 180°/12

=> x = 15°×2

=> x = 30°

therefore, the three angles are 3×30°=90°, 30°/2 = 15°

and 5 × 30°/2 = 150°/2 =75°

HOPE MY CALCULATIONS ARE CORRECT AND IT HELPS YOU