Question

From the figure find the value
of x and find angle A, angle B and angle C
Answer with process plz​

Answer 1

Answer: Value of X = 37°

A = 76°

B = 67°

C = 37°

Step-by-step explanation:

In ∆ ABC

»<A + < B + < C = 180

»2X + 2 + 2X -7 + X = 180(ANGLE SUM PROPERTY OF ∆)

»5X -5 = 180

»5X = 185

»X = 185/5

»X = 37

<A = 2X + 2 = 74 +2 = 76°

<B = 2X - 7 = 74 - 7 = 67.

<C = X = 37

PLZ mark as brainliest

It took a lot of work.

Thanks..

Answer 2

$\\ \\ \large\underline{ \underline{ \sf{ \red{given:} }}}$

• Three angles of triangle are (2x+2) , (2x-7) and (x).

$\\ \\ \large\underline{ \underline{ \sf{ \red{to \: find:} }}}$

• The angles of triangle.

$\\ \\ \large\underline{ \underline{ \sf{ \red{solution:} }}}$

According to Angle Sum Property , sum all interior angles of triangle is 180°.

Here , three angles are (2x+2) , (2x-7) and (x) . Sum of these angle will be 180°.

↦ (2x+2) + (2x-7) + (x) = 180°

↦ 2x + 2 + 2x - 7 + x = 180

↦ 5x - 5 = 180

↦ 5x = 180 + 5

↦ 5x = 185

↦ x = 185/5

↦ x = 37

________________

Angles are :-

1) 2x + 2

ㅤㅤㅤㅤㅤ= 2(37)+2

ㅤㅤㅤㅤㅤ= 74 + 2

ㅤㅤㅤㅤㅤ= 76

2) 2x - 7

ㅤㅤㅤㅤㅤ= 2(37) - 7

ㅤㅤㅤㅤㅤ= 74 - 7

ㅤㅤㅤㅤㅤ= 67

3) x

ㅤㅤㅤㅤㅤ= 37

Hence , angles are 76° , 67° , 37°.

$\\ \\ \large\underline{ \underline{ \sf{ \red{verification:} }}}$

Sum of these three angles should be 180°

76+67+37 = 180

180 = 180 ㅤㅤㅤㅤㅤㅤ(verified)