Three angles have measures that add to 180° . They have the following angle measures: m∠ABC=(x−6)°, m∠CBD=(4x−14)°, and m∠DBE=5x°. What is the equation to solve for x?(1 point) Responses 10x°+20°=180° 10 x plus 20 equals 180 10x°−20°=180° 10 x minus 20 equals 180 9x°−20°=180° 9 x minus 20 equals 180 x°−20°=180° x minus 20 equals 180
The equation to solve for x is:
(x - 6) + (4x - 14) + 5x = 180
no witch one out of my answers is right
The correct equation to solve for x is: 10x ° + 20 ° = 180 °.
Two supplementary angles have the following measures: m∠ABC=135° and m∠CBD=9x° . What is the equation to solve for x ?(1 point) Responses 9x°+135°=90° 9 x plus 135 equals 90 9x°+135°=180° 9 x plus 135 equals 180 9x°−135°=180° 9 x minus 135 equals 180 9x°=180°
The equation to solve for x is:
9x° + 135° = 180°
Use facts about supplementary angles to solve the following problem. Two angles are supplementary and have measures m∠ABC=15° and m∠CBD=x°. What is the value of m∠CBD ?(1 point) Responses 180° 180 degrees 75° 75 degrees 15° 15 degrees 165°
If two angles are supplementary, their measures add up to 180°.
In this case, we know that m∠ABC = 15° and m∠CBD = x°. Since these angles are supplementary, we can set up the equation:
m∠ABC + m∠CBD = 180°
Substituting the given values:
15° + x° = 180°
Now we can solve for x:
x° = 180° - 15°
x° = 165°
Therefore, the value of m∠CBD is 165°.
Two angles are supplementary and have measures m∠QRS=(x+40)° and m∠SRT=x° . What is the measure of ∠QRS ?(1 point) Responses 110° 110 degrees 180° 180 degrees 25° 25 degrees 70°
If two angles are supplementary, their measures add up to 180°.
In this case, we know that m∠QRS = (x + 40)° and m∠SRT = x°. Since these angles are supplementary, we can set up the equation:
m∠QRS + m∠SRT = 180°
Substituting the given values:
(x + 40)° + x° = 180°
Now we can solve for x:
2x + 40 = 180
2x = 180 - 40
2x = 140
x = 70
Therefore, the measure of ∠QRS is (x + 40)° = 70° + 40° = 110°.
Three angles measures add to 180° and have the following measures: m∠ACB=(x+15)° , m∠BCD=(x+48)° , and m∠DCE=13° . What is the measure of ∠BCD ?(1 point) Responses 52° 52 degrees 100° 100 degrees 80° 80 degrees 67°
If three angles add up to 180°, we can set up the equation:
m∠ACB + m∠BCD + m∠DCE = 180°
Substituting the given values:
(x + 15)° + (x + 48)° + 13° = 180°
Now we can solve for x:
2x + 76 = 180
2x = 180 - 76
2x = 104
x = 52
Therefore, the measure of ∠BCD is (x + 48)° = 52° + 48° = 100°.