Question

Find the value of X. then find the measure of angles B and C ​

Answer 1

[Sum of the angles of any triangle is 180°]

↦m∠A + m∠B + m∠C = 180°

The given values and solve for x :

`↦48 + 6x - 28 + 2x = 180°`

`↦8x + 20 = 180°`

`↦8x = 160°`

`↦x = 20°`

Lets , Find the missing angles:

`↦ m∠B = 6×20 -28 = 120-28 = 92°`

`↦ m∠C = 2×20 = 40°`

Answer :-
`\small\bold\red{x = 20°, m∠B = 92°, m∠C = 40°}`

Answer 2

• x = 20, m∠B = 92°, m∠C = 40°

Explanation:

Sum of the angles of any triangle is 180°:

• m∠A + m∠B + m∠C = 180°

Substitute the given values and solve for x:

• 48 + 6x - 28 + 2x = 180
• 8x + 20 = 180
• 8x = 160
• x = 20

Find the missing angles:

• m∠B = 6*20 - 28 = 120 - 28 = 92°
• m∠C = 2*20 = 40°