lesliewhatever22
Answered

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What is the value of X

What Is The Value Of X class=

Sagot :

upandover

There are two ways we can solve this problem: using vertical angles or supplementary angles/a linear pair.

Vertical Angles:

---Vertical angles are those that are directly opposite each other within a pair of intersecting lines.

---Vertical angles are congruent.

(6x - 21) and 105 are vertical angles, and thus congruent.

6x - 21 = 105

6x = 126

x = 21

Supplementary Angles/Linear Pair:

---Supplementary angles form a line and thus add up to 180.

---A linear pair is two adjacent angles that form a line, 180 degrees.

(6x - 21) and 75 are supplementary angles/a linear pair, so their sum is equal to 180.

6x - 21 + 75 = 180

6x + 54 = 180

6x = 126

x = 21

Answer: x = 21

Hope this helps!

suspho9

Answer:

x = 21

Step-by-step explanation:

  • the sum of all angles is 360 °, so we solve with an equation
  • the unknown angle is opposite to 75 ° so it has the same value (75 °)

360 = 6x - 21 + 75 + 105 + 75

360 + 21 - 75 - 105 - 75 = 6x

126 = 6x

x = 126 : 6

x = 21

  • check

360 = 6 * 21 - 21 + 75 + 105 + 75

360 = 126 - 21 + 75 + 105 + 75

360 = 360

The answer is good

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