The measure of base angle is [tex]$\boxed{{{70}^ \circ }} if the vertex angle is {40^ \circ }$[/tex] .
Further explanation:
Given:
Vertex angle of the isosceles triangle is [tex]{40^ \circ }[/tex] .
Explanation:
The triangle three sided close Figure.
There are three type of triangles.
1. Equilateral triangle
2. Isosceles triangle
3. Scalene triangle
Equilateral triangle has all sides equal and all the angles are equal.
Isosceles triangle has 2 sides equal to each other and the two base angles are equal to each other.
Scalene triangle has all sides unequal and the angles are also not equal to each other.
The sum of all the angles of the triangle is [tex]{180^ \circ }[/tex].
Consider the base angle as y.
The value of y can be obtained as follows,
[tex]\begin{aligned}y+y+40&=180\\2y+40&=180\\2y&=180-40\\2y&=140\\y&=\frac{{140}}{2}\\y&={70^ \circ }\\\end{aligned}[/tex]
The measure of base angle is [tex]$\boxed{{{70}^ \circ}} if the vertex angle is {40^ \circ}$[/tex].
Learn more:
1. Learn more about inverse of the function https://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Triangles
Keywords: vertex angle, isosceles triangle, base angle, perpendicular, altitudes, point, triangle, circumcenter, bisectors, perpendicular bisectors, angles, angle bisectors, median, intersection, incenter, right angle triangle, equilateral triangle, obtuse, acute.
