Math, asked by jairajgudadhe2144, 3 months ago

Q8. Two angles are supplementary. One angle measures (2x-10) degrees.
The other angle measures (4x-15) degrees. Find the value of x and give the
values of angles.

Answers

Answered by aarohi8345

Step-by-step explanation:

as we know supplementary angles measures 180 degrees

so (2x-10) + (4x-15) = 180

6x - 25 = 180

6x = 180+25

x = 205/6

x = 34.16

Answered by Aryan0123

Concept used:

Supplementary angles are angles which sum up to 180°.

Here the values of 2 angles are given in terms of algebraic expressions. On solving it and equating it to 180°, we can easily find the value of x.

Solution:

Using the above mentioned concept,

(2x - 10) + (4x - 15) = 180°

⇒ 2x - 10 + 4x - 15 = 180

⇒ 6x - 25 = 180

⇒ 6x = 180 + 25

⇒ 6x = 205

⇒ x = 205 ÷ 6

⇒ x = 34.16

Finding the angles:

= 2 (34.16) - 10

= 58.33°

∴ On approximation, the first angle is 58°

= 4 (34.16) - 15

= 136.64 - 15

= 121.64°

∴ On approximation, the first angle is 122°

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