measure of angle 3=6x, measure of angle KAT=90-x
measure of angle 1=7x+3, measure of angle 2=6x+7
measure of angle 1=7x+3, measure of angle 2=6x+7
measure of angle 1=x, maesure of angle 3=4x
measure of angle 1=2x-8, measure of angle 3=116
To find the measures of angles, you need to set up and solve the given equations. Here's how you can do it step by step:
1. Start with the given information:
- Measure of angle 1 = 7x + 3
- Measure of angle 2 = 6x + 7
- Measure of angle 3 = 6x
- Measure of angle KAT = 90 - x
2. Set up an equation for the sum of angles in a triangle:
Since we know that the sum of the angles in a triangle is 180 degrees, we can write the equation:
Measure of angle 1 + Measure of angle 2 + Measure of angle 3 = 180
Substitute the given expressions for the angle measures into this equation:
(7x + 3) + (6x + 7) + (6x) = 180
3. Simplify and solve the equation:
Combine like terms:
7x + 3 + 6x + 7 + 6x = 180
19x + 10 = 180
Subtract 10 from both sides:
19x = 170
Divide by 19:
x = 170/19
4. Use the value of x to find the measures of the angles:
- Measure of angle 1 = 7x + 3
Substitute x = 170/19 into the equation and simplify to find the measure of angle 1.
- Measure of angle 2 = 6x + 7
Substitute x = 170/19 into the equation and simplify to find the measure of angle 2.
- Measure of angle 3 = 6x
Substitute x = 170/19 into the equation and simplify to find the measure of angle 3.
- Measure of angle KAT = 90 - x
Substitute x = 170/19 into the equation and simplify to find the measure of angle KAT.
For the equation "measure of angle 1 = 2x - 8" and "measure of angle 3 = 116", follow the same steps as above, but substitute the respective expressions for the angle measures. By solving for x, you will find the measurements of angle 1 and angle 3.