The Pythagorean Theorem is
2 answers:
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Given:
In an isosceles triangle LMN, LM=MN.
To find:
The measure of the angles L, M and N.
Solution:
In triangle LMN,
(Given)
(Base angles of an isosceles triangle are equal)
Now,
On further simplification, we get
The value of x is 13. Using this value, we get
Similarly,
And,
Therefore, the measure of angles are .
9514 1404 393
Answer:
- Alternate Exterior Angles: {(1, 11), (4, 10), (5, 15), (8, 14)}
- Corresponding Angles: {(1, 9), (2, 10), (3, 11), (4, 12), (5, 13), (6, 14), (7, 15), (8, 16)}
- Alternate Interior Angles: {(2, 12), (3, 9), (6, 16), (7, 13)}
- Consecutive Exterior Angles: {(1, 10), (4, 11), (5, 14), (8, 15)}
- Consecutive Interior Angles: {(2, 9), (3, 12), (6, 13), (7, 16)}
Step-by-step explanation:
"Alternate" means the angles are on opposite sides of the transversal.
"Consecutive" means the angles are on the same side of the transversal. Sometimes, these are called "same-side" angles.
"Exterior" means the angles are outside the parallel lines.
"Interior" means the angles are between the parallel lines.
"Corresponding" means the angles are in the same direction from the point of intersection.
- Alternate Exterior Angles: {(1, 11), (4, 10), (5, 15), (8, 14)}
- Corresponding Angles: {(1, 9), (2, 10), (3, 11), (4, 12), (5, 13), (6, 14), (7, 15), (8, 16)}
- Alternate Interior Angles: {(2, 12), (3, 9), (6, 16), (7, 13)}
- Consecutive Exterior Angles: {(1, 10), (4, 11), (5, 14), (8, 15)}
- Consecutive Interior Angles: {(2, 9), (3, 12), (6, 13), (7, 16)}
