As the previous question stated, in geometry you will learn the definition of supplementary angles. they are angles that add up to 180 degrees. use that information to solve this problem:
the definition of supplementary lets you set up this equation: x + 3 + 7x - 15 = 180.
solve this equation for x, then plug the value for x into the expression for angle p to find measure of angle p (abbreviated question 4 options:
153
24
32
168
question 5 (15 points)
in geometry, you will learn the definition of complementary angles, angles that add up to 90 degrees.
use that definition to solve the problem below.
the definition of complementary allows you to write this equation:
2x+11 + 10x - 17 = 90
solve for x, then plug the value of x into the expression for angle a to find the measure of angle a (abbreviate as "m question 5 options:
8
27
56
90
question 6 (15 points)
in geometry, you will learn that, given parallel lines cut by a line called a "transversal", same side interior angles are formed and are supplementary. the same side interior angles are labeled with expressions below. use the fact that they are supplementary to solve for x.
the fact that same side interior angles between parallel lines are supplementary allows you to write this equation and solve for x:
9x + 3 + 4x - 5 = 180
question 6 options:
13
10
14
20
question 7 (10 points)
in geometry, you will learn that the three angles of a triangle add up to 180 degrees always. use that information to solve this problem.
using the fact that the three angles of a triangle add up to 180, you can write the equation and solve the equation for x:
3x + 16 + 8x + 3 + 10x - 28 = 180
what is the value of x from the list below?
question 7 options:
19
9
11
45
question 8 (15 points)
in geometry, you learn a theorem called the triangle sum theorem, which states that the three angles of a triangle add up to 180 degrees always. you'll also learn the definition of an isosceles triangle is a triangle that has at least two sides equal and that the angles opposite equal sides are also equal. use that to solve the problem below.
we are told that ac=bc. this means that angle a = angle b because angles opposite equal sides are also equal. this allows you to write an equation to find x.
8x -40 = 5x - 1
once you find x, plug the value into the two expressions for angle a and angle b to find the measures of angles a and b. once you find the measures of a and b, find the measure of angle c using the fact that the three angles of a triangle add up to 180:
angle a + angle b + angle c = 180 so
angle c = 180 - angle a - angle b
question 8 options:
13
54
52
26