The measure of base angle is
if the vertex angle is ![{40^ \circ }.](https://tex.z-dn.net/?f=%7B40%5E%20%5Ccirc%20%7D.)
Further explanation:
There are three types of triangles.
1. Equilateral triangle
2. Isosceles triangle
3. Scalene triangle
Given:
The options are as follows,
(a). All three angles are congruent.
(b). At least two of the angles are congruent.
(c). the vertex angle is a right a right angle.
(d). the vertex angle is obtuse.
Explanation:
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 ![{180^ \circ }.](https://tex.z-dn.net/?f=%7B180%5E%20%5Ccirc%20%7D.)
The two angles are congruent in the isosceles triangle.
Option (a) is not correct as all the angles are not congruent.
Option (b) is correct as the two angles are equal.
Option (c) is not correct as the vertex angle is not always right angled.
Option (d) is not correct as the vertex angle is not always obtuse.
Learn more:
1. Learn more about inverse of the function 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 brainly.com/question/3412497
Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Triangles
Keywords: vertex angle, isosceles triangle, base angle, perpendicular, altitudes, point, triangle, bisectors, angles, intersection, right angle triangle, equilateral triangle, obtuse, acute.