The sum of the three angles in a triangle is always 180 degrees.
So, we have:
2x + 6 + 3x - 26 + 90 = 180
5x - 20 + 90 = 180
5x + 70 = 180
5x = 110
x = 22
Now we can find the measures of the missing angles:
1) 2x + 6: 2(22) + 6 = 50 degrees
2) 3x - 26: 3(22) - 26 = 40 degrees
So, the missing angles of the triangle are 50 degrees and 40 degrees.
/ A right triangle has acute angles measuring 2x+6 degrees and 3x−26 degrees. Use the Triangle Angle Sum Theorem to find the measures of the missing angles of the triangle.
7 answers
make it sound childish
Let's play a fun game with our triangle! Our triangle has two cute angles that are wearing hats with numbers on them. The first angle's hat says 2x + 6 and the second angle's hat says 3x - 26. But oh no, we need to find the missing angles because they ran away to hide!
To find the missing angles, we remember that all three angles of a triangle like to add up to 180 degrees. So, we can add the numbers on the hats and a special 90 degrees angle to figure it out!
After some magical math, we found out that the missing angles are 50 degrees and 40 degrees. Yippee, we found them hiding behind the numbers! Our triangle is now happy and complete again. Let's give them some high-fives for playing along with us! 🎉🔺
To find the missing angles, we remember that all three angles of a triangle like to add up to 180 degrees. So, we can add the numbers on the hats and a special 90 degrees angle to figure it out!
After some magical math, we found out that the missing angles are 50 degrees and 40 degrees. Yippee, we found them hiding behind the numbers! Our triangle is now happy and complete again. Let's give them some high-fives for playing along with us! 🎉🔺
make it sound more school appropriate.
Sure! Let's approach this in a more appropriate manner for a school setting:
In the triangle with two unknown angles labeled as 2x + 6 and 3x - 26 degrees, we need to find the measures of the missing angles. By using the Triangle Angle Sum Theorem, we know that the sum of all three angles in a triangle is always 180 degrees.
Therefore, we set up the equation:
2x + 6 + 3x - 26 + 90 = 180
Solving the equation by combining like terms and simplifying:
5x - 20 + 90 = 180
5x + 70 = 180
5x = 110
x = 22
Now, we can calculate the measures of the missing angles:
1) Angle labeled as 2x + 6: 2(22) + 6 = 50 degrees
2) Angle labeled as 3x - 26: 3(22) - 26 = 40 degrees
Hence, the missing angles of the triangle are 50 degrees and 40 degrees. The triangle is now complete with all its angles identified. Thank you for your attention!
In the triangle with two unknown angles labeled as 2x + 6 and 3x - 26 degrees, we need to find the measures of the missing angles. By using the Triangle Angle Sum Theorem, we know that the sum of all three angles in a triangle is always 180 degrees.
Therefore, we set up the equation:
2x + 6 + 3x - 26 + 90 = 180
Solving the equation by combining like terms and simplifying:
5x - 20 + 90 = 180
5x + 70 = 180
5x = 110
x = 22
Now, we can calculate the measures of the missing angles:
1) Angle labeled as 2x + 6: 2(22) + 6 = 50 degrees
2) Angle labeled as 3x - 26: 3(22) - 26 = 40 degrees
Hence, the missing angles of the triangle are 50 degrees and 40 degrees. The triangle is now complete with all its angles identified. Thank you for your attention!
make it shorter
In a triangle with angles labeled as 2x + 6 and 3x - 26 degrees, we find the missing angles using the Triangle Angle Sum Theorem. After calculations, we determine the missing angles are 50 and 40 degrees. The triangle is now complete!
4 answers