Question

If the angles (2x-10)° and (x-5) are complementary. Find x.​

Answer 1

Answer:

x = 35

Step-by-step explanation:

complementary angles are those whose sum is 90°

therefore

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

=> 3x - 15 = 90

=> 3x = 90° + 15°

=> 3x = 105°

=> x = 105° ÷ 3

=> x = 35°

Answer 2

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Complementary angles are those angles will add up to 90°. They need not to be adjacent necessarily but their measures should add up to a right angle.

Measure of complementary angles in Q.

• 1st angle = 2x - 10
• 2nd angle = x - 5

Plugging the required measures of angles,

⇛ 1st angle + 2nd angle = 90°

⇛ 2x - 10 + x - 5 = 90°

⇛ 3x - 15° = 90°

⇛ 3x = 105°

⇛ x = 105° / 3 = 35°

Thus, the value of x is 35°

Explore more!!

• Supplementary angles are another type of angles which add upto 180°.

• If they are placed adjacent to each other, they will form a straight line.