Which of the following are exterior angles? Check all that apply. please help

Mathematics

1 answer:

fredd [130]3 years ago

7 0

Given:

A figure of a triangle.

To find:

The exterior angles.

Solution:

If one side of a triangle is extended, then the angle between the extended side and the other side of triangle is known as exterior angle of the triangle.

In the given figure angle 1 and angle 5 are interior angles because they are inside the circle.

In the given figure angles 2,4,6 are exterior angles because they are lie between the extended side and the other side of triangle.

Angle 3 is the angle between two extended sides. So, it is neither interior not exterior angle of the triangle.

Only 2,4,6 are the exterior angles of the given triangle. Therefore, the correct options are C, D, E.

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Help plz I’m not good at this

Natalka [10]

Answer:

The correct answer is A. 1/8

Step-by-step explanation:

Let's solve (1/3 * 9/16) / 1 1/2 = x

(1/3 * 9/16) / 1 1/2 = x

9/48 / 1 1/2 = 9/48 * 2/3 = 18/144

18/144, we can simplify dividing by 18 at the numerator and the denominator, this way:

x = 18 ÷ 18/ 144 * 18 = 1/8

The correct answer is A. 1/8

4 0

4 years ago

In the figure above, quadrilateral ABCD is a parallelogram. Let x represent the measure of angle GBF, y represent the measure of

ira [324]

Answers:
measure angle x = 40°
measure angle y = 35°
measure angle z = 55°

Explanation:
Part (a): getting angle x:
In triangle BED, we have:
measure angle BED = 90°
measure angle BDE = 50°
Therefore:
measure angle DBE = 180 - (90+50) = 40°
Now, we have angle DBE and angle GBF vertically opposite angles.
This means that they are both equal. Therefore angle GBF = 40°
Since angle GBF is x, therefore:
x = 40°

Part (b): getting angle y:
We know that the sum of measures of angles on a straight line is 180.
This means that:
angle GBF + angle GBC + angle CBE = 180
We have:
angle GBF = 40°
angle GBC = 105°
angle CBE = y
Therefore:
40 + 105 + y = 180
y = 35°

Part (c): getting angle z:
In triangle BCE, we have:
measure angle BCE = z
measure angle BEC = 90°
measure angle CBE = 35°
Therefore:
z + 90 + 35 = 180
z = 55°

Hope this helps :)