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3 years ago

Answer plsss! If the measure of angle 2 is 48 degrees, what is the measure of angle 4? Why?

Mathematics

2 answers:

PolarNik [594]3 years ago

8 0

Answer:

The measure of angle 4 is 48 degrees.

Step-by-step explanation:

When two angles <u>forming an X</u>

shape share a common vertex and
oppose each other

the angle has the same value.

We call this type of angles opposing angles or vertical angles.

Crank3 years ago

3 0

Answer:the measure of angle 4 is 48 degrees

Step-by-step explanation:

The blue horizontal line crosses the red line at a point. Therefore, angle 2 and angle 4 are vertically opposite angles. Vertically opposite angles are equal. Therefore,

If the measure of angle 2 is 48 degrees, then the measure of angle 4 is also 48 degrees.

We can check by looking at the fact that the sum of the angles on a straight line is 180 degrees. It means that

Angle 1 + angle 2 = 180

Angle 1 = 180 - 48 = 132

Also,

Angle 1 + angle 4 = 180

Angle 4 = 180 - 132 = 48

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Your Turn: Find the measure of angle P below. Show your work. *

Virty [35]

Check the picture.

The figure shows lines m, n and the line through points A And B, call it $l_{AB}$ .

1. The angles ABC and CBP are "supplementary" angles, that is angles whose sum is 180°, because together they form one straight angle.

thus,

(2x+5°)+(7x-14°)=180°

9x-9°=180°

9x=189°

x=189°/9=21°.

2. Remark, m and n are parallel, otherwise we can say nothing about the measure of angle P

check the second picture, notice the F shape formed by CBP and P.

Angles CBP and P are called "angles F" or "corresponding angles".

Corresponding angles formed by a line cutting 2 parallel lines, are always congruent (that is equal) so:

m(P)=m(CBP)=7x-14°=7.21°-14°=147°-14°=133°

Answer: 133°

5 0

3 years ago

Read 2 more answers

Mark the statements that are true.

lara [203]

Answer:

Correct answers:

A. An angle that measures $\frac{\pi}{6}$ radians also measures $30^o$

C. An angle that measures $180^o$ also measures $\pi$ radians

Step-by-step explanation:

Recall the formula to transform radians to degrees and vice-versa:

$\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\ \\\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians$

Therefore we can investigate each of the statements, and find that when we have a $\frac{\pi}{6}$ radians angle, then its degree formula becomes:

$\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians\\\angle\,degrees=\frac{180^o}{\pi} \,* \,\frac{\pi}{6} \\\angle\,degrees=\frac{180^o}{6} \\\angle\,degrees=30^o$

also when an angle measures $180^o$ , its radian measure is:

$\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\\angle\,radians=\frac{\pi}{180^o} \,* \,180^o\\\angle\,radians=\pi$

The other relationships are not true as per the conversion formulas

7 0

3 years ago

2/7 times 2/6 = what

Andrej [43]

4/7 or 0.571429 :) :)

8 0

3 years ago

Read 2 more answers

Stephen record the growth of a plant over 10 weeks for his science project he made a graph that shows how much the plant group e

vazorg [7]

Answer:

y= 6/5x + 2

If you substitute the points (5,8) you get:

8 = 6/5 × 5 + 2

8 = 6 + 2

Step-by-step explanation:

5 0

3 years ago

Please answer this question, 30 points and will give brainliest!

kotykmax [81]

Answer:

∠C = 80 ° ; ∠ T = 40°.

Step-by-step explanation:

Triangle CRS is isosceles because it has two sides of equal length. (CR and CS are radii).

An isosceles triangle has also two equal angles, which means that ∠CRS= ∠CSR.

Therefore, ∠C = 80 ° (180° – 50° - 50°) because the sum of angles in a triangle is 180 degrees.

∠C is the central angle of the arc RS.

∠ T is the inscribed angle of the arc RS.

An inscribed angle is half of a central angle that subtends the same arc on the circle, so the inscribed angle ∠ T is half of the central angle ∠C. Since ∠C = 80 °, we can easily determine the measure of ∠ T:

80° divided by 2 is 40°.

6 0

3 years ago