Question

Three angles have measures that add to 180°. They have the following angle measures: m angle ABC = (x - 6) deg , m angle CBD = (4x - 14) deg and m angle DBE = 5 * x deg What is the equation to solve for x? (1 point)

Answer 1

Two supplementary angles have the following measures:

m angle ABC = 135 deg and m angle CBD = 9 * x deg What is the equation to

solve for x? (1 point)

Answer 2

Use facts about supplementary angles to solve the following problem. Two angles are supplementary and have measures m angle ABC = 15 deg and m angle CBD = x deg What is the value of m angle CBD (1 point)

Answer 3

Two angles are supplementary and have measures

m angle QRS = (x + 40) deg and m angle SRT = x deg What is the measure of angle QRS (1 point)

Answer 4

Three angles measures add to 180° and have the following measures: m angle ACB = (x + 15) deg ,m angle BCD=(x+48)^ and m / D * CE = 13 deg . What is the measure of angle BCD ? (1 point)

Answer 5

thanks bot, all of the answers are correct !! :D

Answer 6

To solve for x, we can set up an equation using the fact that the sum of the three angle measures is 180°.

So, we have:
m angle ABC + m angle CBD + m angle DBE = 180°

Substituting the given angle measures, we have:
(x - 6) + (4x - 14) + (5x) = 180°

Combining like terms, we get:
10x - 20 = 180°

Adding 20 to both sides, we have:
10x = 200°

Finally, dividing both sides by 10, we get:
x = 20°

Therefore, the equation to solve for x is 10x - 20 = 180°.

Answer 7

To solve for x, we can use the fact that the two angles are supplementary, meaning their measures add up to 180°.

Therefore, we have:
m angle ABC + m angle CBD = 180°

Substituting the given angle measures, we have:
135° + (9*x)° = 180°

Simplifying the equation, we have:
9x + 135 = 180

To solve for x, we subtract 135 from both sides:
9x = 180 - 135
9x = 45

Finally, we divide both sides by 9:
x = 45/9
x = 5

Therefore, the equation to solve for x is 9x + 135 = 180.

Answer 8

Since the two angles are supplementary, their measures add up to 180°.

Therefore, we have the equation:

m angle ABC + m angle CBD = 180°

Substituting the given angle measures, we have:

15° + x° = 180°

To solve for x, we isolate it by subtracting 15 from both sides:

x° = 180° - 15°

x° = 165°

Therefore, the measure of angle CBD, m angle CBD, is 165°.

Answer 9

Since the two angles are supplementary, their measures add up to 180°.

Therefore, we have the equation:

m angle QRS + m angle SRT = 180°

Substituting the given angle measures, we have:

(x + 40) + x = 180°

To solve for x, we combine like terms:

2x + 40 = 180°

Next, we subtract 40 from both sides:

2x = 180° - 40

2x = 140°

Finally, we divide both sides by 2 to solve for x:

x = 140° / 2

x = 70°

Therefore, the measure of angle QRS, m angle QRS, is equal to x + 40:

m angle QRS = 70° + 40° = 110°.

Answer 10

To find the measure of angle BCD, we can set up an equation using the given information.

Since the three angles add up to 180°, we have:

m angle ACB + m angle BCD + m angle DCE = 180°

Substituting the given angle measures, we have:

(x + 15) + (x + 48) + 13 = 180°

Combining like terms, we get:

2x + 76 = 180°

Next, we isolate the variable by subtracting 76 from both sides:

2x = 180° - 76

2x = 104°

Finally, we divide both sides by 2 to solve for x:

x = 104° / 2

x = 52°

Therefore, the measure of angle BCD, m angle BCD, can be found by substituting the value of x back into the given expression:

m angle BCD = (x + 48) = (52° + 48°) = 100°.

Answer 11

You're welcome! I'm glad I could help you. If you have any more questions, feel free to ask!