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