Question

find the x plss fast ​

Answer 1

Answer:

The interior angles of a triangle adds up to 180°

So,

(2x + 15)° + (x + 10)° + (3x + 5)° = 180°

= (2x + x + 3x + 15 + 10 + 5)° = 180°

= 6x + 30° = 180°

(Transversing of 30 to RHS)

=6x = 180° - 30°

= 6x = 150°

(Transversing of 6 to RHS)

= x = 150/6°

= x = 25°

So, x = 25°

If you also want the angles, the following are the answers for that

2x + 15° = 2×25+15 = 50+15° = 65°

x + 10° = 25+10 = 35°

3x + 5° = 3×25+5 = 75+5° = 80°

Checking

65° + 35° + 80° = 100° + 80° = 180°

So, the answer is correct

Answer 2

Answer:

Given:-

$\large \sf \angle \: A = (x + 10) \degree \\ \large \sf \angle \: B = (3x + 5) \degree \\ \large \sf \angle \: C = (2x + 15) \degree$

Now , By Angle sum property

$\implies \large \sf \: \angle \: A + \angle \: B + \angle \: C = 180 \degree \\ \sf \large \implies \: x + 10 + 3x + 5 + 2x + 15 = 180 \\ \sf \large \implies \: 6x + 30 = 180 \\ \sf \large \implies \: 6x = 180 - 30 \\ \sf \large \implies \: 6x = 150 \\ \sf \large \implies \: x = 150 \div 6 \\ {\sf {\large {\implies {\boxed {\:{ \red \: {x = 25 \degree}}}}}}}$

Now one by one put the value of x,

$\boxed{ \sf\angle \: A = x + 10 = 25 + 10 = \red{ 35 \degree}} \\ \boxed{ \sf \angle \: B = 3x + 5 = 3 \times 25 + 5 = 75 + 5 = \red {80 \degree}} \\ \boxed{ \sf \angle C = 2x + 15 = 2 \times 25 + 15 = 50 + 15 = \red{ 65 \degree}}$