Question

solve the problem please

Answer 1

Answer:

Step-by-step explanation:

let the angle be x

supplement of the angle= 180-x (supplementary angles add up to  180)

now when you add twice the angle (2x) to 45 you get its supplement (180-x)

sp, 2x+45= 180-x

now bring x to the common side and take 45 to the oher

2x+x=180-45

3x=135

x=135/3=45

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Answer 2

Answer:

45°

Step-by-step explanation:

$\text{Let the required angle be x} \° .\\\\\text{Its supplement = (180-x)} \° .\\\\\text{According to the question,}\\\\2x + 45 = 180-x\\\\\implies 2x + x = 180 - 45\\\\\implies 3x = 135\\\\\implies x = \dfrac{135}{3} = 45 \° .\\\\\text{Hence, the required angle is } \large \underline{\boxed{\boxed{\boxed{\boxed{\bold{45 \°}}}}}}$

$\textbf{Justification:}\\\\2x + 45 = 180 - x\\\\\text{Put x = 45}\\\\2 \times 45 + 45 = 180 - 45\\\\\implies 90 + 45 = 135\\\\\implies 135 = 135\\\\\implies L.H.S. = R.H.S.\\\\\text{Hence Justified.}$

Hope it helps.