Answer: The value of other side is 7.8 inch.
Explanation:
It is given that the isosceles triangle has angle measures 50°, 50°, and 80°. The side across from the 80° angle is 10 inches long.
Let the given length of other equal sides be x.
The side across from the 50° angle is x inches long.
Law of sine,
Therefore, the value of other side is 7.8 inch.
Answer:
The figure is attached below.
The value of x = 20.
Step-by-step explanation:
Given:
See the Diagram below
T-R-W is the Line and
S-R-V is the Line intersecting each other at point R making angles in clockwise as below
m∠ SRW = blank
m∠ WRV = 3x
m∠ VRT = blank
m∠ TRS = ( x + 40 )
To Find:
x = ?
Solution:
Vertical Opposite Angles Theorem:
Vertically Opposite Angles are the angles opposite each other when two lines cross and are always EQUAL.
Here in the figure
m∠ WRV and m∠ TRS are Vertically Opposite Angles
∴ m∠ WRV = m∠ TRS
∴ 3x = (x +40)
∴ 3x -x = 40
∴ 2x = 40
∴
The value of x = 20.
