Mathematics, 13.10.2019 14:30 kadenbaker4788

What are the measures of angles a, b, and c? show your work and explain your answers.

Answers: 1

Show answers

Answers

Answers: ∠a = 30° ; ∠b = 60° ; ∠c = 105°.

1) The measure of Angle a is 30°. (m∠a = 30°).
Proof: All vertical angles are congruent, and we are shown in the diagram that angle A — AND the angle labeled with the measurement of 30°— are vertical angles.

2) The measure of Angle b is 60°. (m∠b = 60°).
Proof: All three angles of a triangle add up to 90 degrees. In the diagram, we can examine the triangle formed by Angle A, Angle B, and a 90° angle. This is a right triangle, and the angle with 90∠ degrees is indicated as such (with the "square" symbol). So we know that one angle is 90°. We also know that m∠a = 30°. If there are three angles in a triangle, and all three angles must add up to 180°, and we know the measurements of two of the three angles, we can solve for the unknown measurement of the remaining angle, which in this case is: m∠b.
90° + 30° + m∠b = 180° ;
180° - (90° + 30°) = m∠b ;
180° - (120°) = m∠b = 60°

Now we need to solve for the measure of Angle c (m∠c).

All angles on a straight line (or straight "line segment") are called "supplementary angles" and must add up to 180°. As shown, Angle c is on a "straight line". The measurement of the remaining angle represented ("supplementary angle" to Angle c is 75° (shown on diagram). As such, the measure of "Angle C" (m∠c) = m∠c = 180° - 75° = 105°.

Answer from: DaFuzzyDude

A=30,

Cause it is a vertical angle with the angle labeld 30,

to find B, we have the expression:

180-(30+90)

Cause we know 2 of the angles in that triangle and that the sum of all the angles is 180.

180-(30+90)=

180 - 120=

B = 60

then For C, it is on the vertical line, or a supplementary angle so it is 180 - 75 = c

C=105

Answer from: Quest

the answer would be 150 books

step-by-step explanation:

if you divide 300 by 2 you will get 150

Answer from: Quest

For a 0.25 pfor b o.3pp (0.25+0.3)=0.28

Another question on Mathematics

Mathematics, 21.06.2019 16:00

Answer asap ! the shortest path from point a to point b goes through a pond. to avoid the pond, you must walk straight 34 meters along one edge of the pond, then take a 90 degree turn, and again walk straight 41 meters along another edge of the pond to reach point b. about how many meters would be saved if it were possible to walk through the pond? a. 11 m b. 20 m c. 30.45 m d. 21.73 m

Answers: 1

Answer

Mathematics, 21.06.2019 17:00

Select all of the quadrants that the parabola whose equation is y=√x-4 (principal square root) occupies. i ii iii iv

Answers: 3

Answer

Mathematics, 21.06.2019 18:20

If f(x)=-x^2+6x-1 and g(x)=3x^2-4x-1,find(f+g)(x)

Answers: 1

Answer

Mathematics, 22.06.2019 03:30

At the movie theatre, child admission is $5.20 and adult admission is $9.70. on sunday three time as many adult tickets as child tickets were sold, for a total sales of $788.90. how many child tickets were sold that day?

Answers: 1

Answer

You know the right answer?

What are the measures of angles a, b, and c? show your work and explain your answers.
...

Questions