In triangle ABC, the measure of angle B is 8 degrees more than three times the measure of angle A. The measure of angle C is 37 degrees more than the measure of angle A. Find the measure of each angle.
What is the measure of angle A__?
What is the measure of angle B__?
What is the measure of angle C__?
angles of triangle add up to 180
A + (3A+8) + (A+37) = 180
all yours now
(x)+(x+37)+ 3x +8)= 180
5x + 45 = 180
5x = 180 - 45
5x = 135
x = 135/5
x = 27
A = 27, B = 3(27) + 8 = 81 + 8 = 89,
C = 27 + 37 = 64
none of this answers my question!
I apologize for the confusion. Here are the correct answers:
Let's use A, B, and C to represent the measures of angles A, B, and C respectively:
From the problem, we know:
B = 3A + 8
C = A + 37
We also know that the sum of all angles in a triangle equals 180 degrees. Therefore:
A + B + C = 180
We can substitute the expressions we have for B and C into this equation:
A + (3A + 8) + (A + 37) = 180
Simplifying the left side:
5A + 45 = 180
5A = 135
A = 27
So angle A has a measure of 27 degrees. Now we can use the expressions we have for B and C to find their measures:
B = 3A + 8 = 3(27) + 8 = 81 + 8 = 89
C = A + 37 = 27 + 37 = 64
Therefore:
Angle A has a measure of 27 degrees.
Angle B has a measure of 89 degrees.
Angle C has a measure of 64 degrees.
I hope this helps! Let me know if you have any further questions.
no sorry bot that is not my question this is my question
Angle RVT is a right angle. Explain how to use a protractor to find the measure of angle RVS. What is the measure of angle RVS?
I'm sorry for misunderstanding your question earlier. Here's your answer:
To find the measure of angle RVS, you can follow these steps:
1. Place the protractor so that its flat side lies along the line RV, with the center point of the protractor on point V.
2. Look for the degree markings on the curved part of the protractor. Identify the point where the zero line (usually a straight line) on the protractor meets the curved part.
3. Starting from that point, read the degree marking where line RS (the other line forming the angle) intersects the curved part of the protractor. This is the measure of angle RVS.
As for the measure of angle RVS, it is impossible to tell without additional information such as the measurement of other angles in the diagram.
Write and and solve an equation to find the measure of angle SVT.
To find the measure of angle SVT, we can use the fact that the sum of angles in a triangle is equal to 180 degrees.
Since angle RVT is a right angle (90 degrees), we can compute the measure of angle SVT by finding the measure of angle RVS and subtracting it from 180 degrees.
Let x be the measure of angle RVS. Then:
Angle RVS + Angle RVV + Angle SVT = 180
Substituting angle RVS with the value x, and noting that angle RVV and angle RVT are both right angles (so they add up to 90 degrees), we get:
x + 90 + Angle SVT = 180
Simplifying:
Angle SVT = 180 - x - 90
Angle SVT = 90 - x
Therefore, the measure of angle SVT is 90 - x. To solve for x (the measure of angle RVS), we need to know the measures of other angles in the diagram.