The sum of an exterior angle of a triangle and its adjacent angle is always ______. Fill in the blanks to make the statement true
Solution:
Given, the sum of an exterior angle of a triangle and its adjacent angle is always ______.
We have to fill in the blanks to make the statement true.
Consider a triangle ABC,
The sides of the triangle are AB, BC and AC.
The three vertices are A, B and C.
The interior angles are ∠ACB, ∠BAC and ∠ABC.
The exterior angle is ∠ACD.
The sum of the exterior angle and its adjacent angle forms a linear pair.
Linear pairs of angles are formed when two lines intersect each other at a single point.
Linear pair angles are supplementary angles as their sum is 180°.
So, ∠ADC + ∠ACB = 180°
Therefore, the required value is 180°.
✦ Try This: The sum of all three interior angles of a triangle is equal to ______. Fill in the blanks to make the statement true
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6
NCERT Exemplar Class 7 Maths Chapter 6 Problem 51
The sum of an exterior angle of a triangle and its adjacent angle is always ______. Fill in the blanks to make the statement true
Summary:
The sum of an exterior angle of a triangle and its adjacent angle is always 180 degrees.
☛ Related Questions:
- The longest side of a right angled triangle is called its _______. Fill in the blanks to make the st . . . .
- Median is also called _________ in an equilateral triangle. Fill in the blanks to make the statement . . . .
- Measures of each of the angles of an equilateral triangle is _______. Fill in the blanks to make the . . . .