Answer:
x = 60° and y = 50°.
Step-by-step explanation:
Here, we are given with a triangle which has an other exterior angle. The measures of one interior angles are given. The two interior angles are named as x and y, which is needed to be found. Here, we are going to use the concepts of linear pair of angles, triangle property. These are the concepts which are used to find the measurements of many angles in a triangle. First we find the value of y and then later we can find the value of x
Value of y:
Straight line angle = 180°
⇛130° + y = 180°
Shift the number 130 from LHS to RHS, changing it's sign.
⇛y = 180° - 130°
Subtract the number on RHS.
Therefore, y = 50°
Now, we can easily find the value of x in the triangle given.
Value of x:
The sum of three angles of the triangle (∆) = 180°
Angle A + Angle B + Angle C = 180°
Substitute the value in equation, then we get
⇛70° + x + y = 180°
⇛70° + x + 50° = 180°
⇛120° + x = 180°
Shift the number 120° from LHS to RHS, changing it's sign.
⇛x = 180° - 120°
⇛x = 60°
Therefore, x = 60°
Answer: Hence, the value of x and y for the given triangle (∆) is 60° and 50°.
Please let me know if you have any other questions.
