Math, asked by adiboss1127, 8 months ago

Find the value of x for which the angle (2x - 5) and (x - 10) are the complementary angle

Answers

Answered by IshanviSeth
0

Answer:

25

Step-by-step explanation:

2x-5+x-10=90

3x-15=90

3x=75

x=75/3

x=25

Answered by ıtʑFᴇᴇʟɓᴇãᴛ
19

\mathtt{\huge{\underline{\red{Question\:?}}}}

Find the value of x for which the angle (2x - 5) and (x - 10) are the complementary angle.

\mathtt{\huge{\underline{\green{Answer:-}}}}

➠ The value of x is 35°.

\mathtt{\huge{\underline{\purple {Solution:-}}}}

Given :-

  • The angles (2x - 5) and (x - 10) .

  • The given angles are complementary angle.

To Find :-

  • The value of x .

Calculation :-

We know that the sum of complimentary angle is 90 °.

(2x -5)+(x -10)=90

➝ 2x -5+x -10=90

➝ 3x -15=90

➝ 3x=90+15

➝ 3x=105

➝ x = \cancel{\dfrac{105}{3}}

x = 35°

Verification :-

(2x -5)+(x -10)=90 , where x=35°

➝ (2× 35 -5) + (35-10) = 90

➝ (70 -5 ) + (35-10) = 90

➝ 65 + 25 = 90

90 = 90

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