Respuesta :
Answer:
The possible value for angle P will be 100
And sum will also 100 because it has only one value.
Step-by-step explanation:
Given:
angle R measures 40 degree and PQR is isosceles triangle.
To Find:
Measure angle P.
Solution:
The given triangle is isosceles hence it will have 2 same angle included in it.
And sum of all angles of a triangle is 180 degree.
let same angles be x and other be y
So ,
x+x+y=180.............. sum of all angles.
2x+y=180.
Now to find possible values for y ,with x=40,
2x+y=180
80+y=180
y=100
So being x= 40 y =100 which satisfy given angle R condition.
now let y=80,then x should satisfy 40 degree value, so
2x+80=180
2x=100
x=50
it doest not satisfy the given value hence possible for y will be 100.
Since x=40 degree.
An isosceles triangle is defined as a triangle, which has two equal sides and angles.
Given that:
Angle R = 40
PQR = isosceles triangle
As we know, the sum of all the angles in the triangle is equal to 180 degrees.
Let the other angles be x and y, such that:
[tex]x + x + y = 180\\2x + y = 180\\\\\because x = 40\\\\ (2 \times 40) + y = 180\\\\80 + y = 180\\y = 180-80\\y = 100[/tex]
Thus, the value of x is 40, and y is 100.
To know more about the isosceles triangle, refer to the following link:
https://brainly.com/question/2633359
