Question

find the value of x in each of the following figure
please answer step by step and correct please ​

Answer 1

Answer:

x+ 2x-5=115° [ext. angle property of a triangle]

3x-5=115

3x=115+5

3x=120

x=120/3=40

Answer 2

❀Step By Step Explanation❀

✎Step 1:

$x + 2x - 5⁰ = 115⁰$

$reason → sum \: of \: interior \: angles = exterior \: angle$

✎Step 2:

$⇒3x - 5⁰ = 115⁰$

✎Step 3:

$⇒3x = 115⁰+ 5⁰$

✎Step 4:

$⇒3x = 120⁰$

✎Step 5:

$⇒x = \frac{120⁰}{3⁰}$

✎Step 6:

$⇒x = 40⁰✓$

❀Other method❀

$</strong><strong>∠1+115⁰=180⁰</strong><strong>$(linear pair)

$</strong><strong>∠1=180⁰-115</strong><strong>⁰</strong><strong>$

$</strong><strong>∠1=65⁰</strong><strong>$

✎Step1:

$</strong><strong>65+x+2x-5=180⁰</strong><strong>$(Sum of angles of triangle =180⁰)

✎Step2:

$</strong><strong>⇒</strong><strong>65+3x-6=180⁰</strong><strong>$

✎Step3:

$</strong><strong>⇒</strong><strong>3x=180⁰+5⁰-65⁰</strong><strong>$

✎Step4:

$</strong><strong>⇒</strong><strong>3x=120⁰</strong><strong>$

✎Step5:

$</strong><strong>⇒</strong><strong>x=120⁰÷3⁰</strong><strong>$

✎Step6:

$</strong><strong>⇒</strong><strong>x=40⁰✓</strong><strong>$

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✯Dull Star✯