Two angles, ∠1 and ∠2 , in a diagram are complementary. If m∠2=26° , what equation can you write to solve for m∠1
m∠1+__° =__°
m∠1 + 26° = 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 ?
m∠4+__° =__°
m∠4 + 67° = 180°
Use the image to answer the question.
An illustration shows a rectangle which is segmented left to right into a right triangle, a trapezoid in the middle, and another right triangle. The sides of the rectangle form the sides of the triangles. The top corners of the rectangle are denoted by two right angle symbols. The middle trapezoid is formed by two slanting lines from each of the top corners to the base of the rectangle. The angles formed by the two slanted lines, which become the hypotenuse of each right triangle, are labeled from 1 to 8 in clockwise direction starting from the top of the left side.
If m∠8=45° , what equation can you write to find the value of m∠7 ?
m∠7+__° =__°
m∠7 + 45° = 90°
45 is right but 90 is wrong
Apologies for the mistake. Since angles 7 and 8 form a straight line, they are supplementary angles. Therefore, the equation to find the value of m∠7 is:
m∠7 + 45° = 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 ?
m∠C =__°
m∠D=__°
Since the sum of the measures of ∠B, ∠C, and ∠D is 180°, we can set up an equation:
m∠B + m∠C + m∠D = 180
Substituting the given values, we have:
25 + 3x + (3x + 5) = 180
Combining like terms, we get:
6x + 30 = 180
Subtracting 30 from both sides, we have:
6x = 150
Dividing both sides by 6, we get:
x = 25
Thus, m∠C = 3x = 3(25) = 75° and m∠D = 3x + 5 = 3(25) + 5 = 80°.
Use the image to answer the question.
An illustration shows intersecting lines and rays. The resulting angles are labeled. A vertical line is intersected by an upward slanting line from left to right. A downward slanting ray extends from the point where the lines intersect to the bottom right. Starting from the top part of the vertical line, the first angle betwee the vertical line and the slanting line is labeled A. Moving clockwise, next angle is labeled Angle B, then Angle C, then Angle D, and then Angle E. All of the angles have degree signs next to their labels, but they do not have degree measurements.
In the diagram, m∠A=(4x−10)° and m∠D=(2x+22)
__°