lesliewhatever22
Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.