All categories

3 years ago

What is the measure of the missing angle?!

Mathematics

1 answer:

qwelly [4]3 years ago

8 0

Your answer would be 42 degrees.

To solve this, first look at the information we're given. We know that the shape the missing angle is part of is a triangle, so therefore, the sum of the interior angles will always be 180 degrees. There is a right angle inside of the triangle. One of the exterior angles is 132 degrees.

The first thing we can see from this is that the two interior angles which are not right angles must add up to 90 degrees. Since the sum of all the interior angles is 180 degrees, and there is already a 90 degree angle, the other two must add up to 90 degrees.

The next step would then be to find the other interior angle which is not the missing angle. We can do this because of the exterior angle.

A straight line always has a measure of 180 degrees. In this case, we can see that the line the exterior angle is resting on is straight, and the exterior angle + the other interior angle = the line. Therefore, 132 + the other interior angle must equal 180 degrees.

Subtract 132 from both sides, and you get the other interior angle has a measure of 48 degrees.

Now, to take that and figure out the missing angle.

We know that the angle with a measure of 48 degrees and the missing angle must add up to 90 degrees, as stated above.

48 + missing angle = 90

Subtract 48 from both sides, and you get the measurement of the missing angle is 42 degrees.

Good luck!

You might be interested in

You had a coupon that made the price of a large pizza 13.00. For what percent off was the coupon?

fomenos

Answer:20% oofff

Step-by-step explanation:

100-(13*100/o)=z

o=original price

100-(13*100/16.25)=z

100-80=z

20%

answer is z%

7 0

2 years ago

Which of the following equations could be solved for a radius? Select all that apply.

zalisa [80]

Answer:

A = π · (r²)

Step-by-step explanation:

$A =$ π · r² is the area of a circle.

While π · r² · h can also give you the radius, it can only do so for the Volume $V$ , not the Area $A$ .

$V=lwh$ doesn't really apply for a circular object, as it requires the length and width. For circular objects, both are equal to the diameter of the object, and 2² · r² · h does not equal the Volume.

$V=$ π · r³ seems awfully like the volume of a sphere, but there's something missing. The true volume of a sphere is $V=\frac{4}{3}$ · π · r³, not $V=$ π · r³.

$A=\frac{1}{2}*b*h$ only applies for triangles.

3 0

3 years ago

Read 2 more answers

Please help!!! ill mark brainliest

Vesnalui [34]

3x - 1 = 3x + 1

subtract 3x from both sides to get (-1 = 1). This is a false statement so it is: CONTRADICTION

************************************************

4x - 11 = 7

add 11 to both sides and then divide both sides by 4 to get $(x = \frac{18}{4} = \frac{9}{2})$ . This statement is true only when x = $\frac{9}{2}$ so it is: CONDITIONAL

*************************************************

2 - 8x = 2 - 8x

add 8x to both sides to get (2 = 2). This is a true statement so it is: IDENTITY

*************************************************

x + 1 = -x + 4

add x to both sides, subtract 1 from both sides, and divide both sides by 2 to get $(x = \frac{3}{2} )$ . This statement is true only when x = $\frac{3}{2}$ so it is: CONDITIONAL