Two angles, ∠1 and ∠2 , in a diagram are complementary. If m∠2=26° , what equation can you write to solve for m∠1 ?(1 point)
m∠1+ ____=90
m∠1+ m∠2=90
In a diagram, ∠3 and ∠5 are vertical angles, and ∠4 is a supplementary angle with ∠5 . If m∠3=67° , what equation can you write to solve for m∠4 ?(1 point)
m∠3 + m∠5 = 180
If m∠8=45° , what equation can you write to find the value of m∠7 ? (1 point)
m∠7 + m∠8 = 180
Together, the measures of ∠B , ∠C , and ∠D equal 180° . The angles have the following measures: m∠B=25° , m∠C=(3x)° , and m∠D=(3x+5)° . What are the measures of ∠C and ∠D ?(1 point) m∠C=° m∠D=°
m∠C = 3x
m∠D = 3x + 5
Since the sum of ∠B, ∠C, and ∠D is 180°, we can write the equation:
m∠B + m∠C + m∠D = 180
Substituting the given measures:
25 + 3x + 3x + 5 = 180
Combine like terms:
6x + 30 = 180
Subtract 30 from both sides:
6x = 150
Divide both sides by 6:
x = 25
Now we can substitute the value of x to find the measures of ∠C and ∠D:
m∠C = 3x = 3 * 25 = 75°
m∠D = 3x + 5 = 3 * 25 + 5 = 80°
So, the measures of ∠C and ∠D are 75° and 80°, respectively.