In an isosceles triangle, one angle is 70°. The other two angles are of
(i) 55° and 55° (ii) 70° and 40° (iii) any measure
In the given option(s) which of the above statement(s) are true?
(i) only
(ii) only
(iii) only
(i) and (ii)
Solution:
Given, in an isosceles triangle, one angle is 70°.
We have to find the other two angles.
An isosceles triangle is a type of triangle that has any two sides equal in length.
(i) Considering 55° and 55°,
By angle sum property of a triangle,
We know that the sum of all the three interior angles of the triangle is equal to 180 degrees.
Sum of angles = 70° + 55° + 55°
= 70° + 110°
= 180°
We know that the two angles of an isosceles triangle, opposite to equal sides, are equal in measure.
Therefore, option a is true.
(ii) Considering 70° and 40°,
By angle sum property of a triangle,
We know that the sum of all the three interior angles of the triangle is equal to 180 degrees.
Sum of angles = 70° + 70° + 40°
= 70° + 110°
= 180°
We know that the two angles of an isosceles triangle, opposite to equal sides, are equal in measure.
Therefore, 70° and 40° cannot be the other two angles of an isosceles triangle.
(iii) The other angles cannot be any measure, since two angles must be equal to each other.
✦ Try This: In an isosceles triangle, one angle is 80°. The other two angles are
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6
NCERT Exemplar Class 7 Maths Chapter 6 Problem 5
In an isosceles triangle, one angle is 70°. The other two angles are of: (i) 55° and 55° (ii) 70° and 40° (iii) any measure, In the given option(s) which of the above statement(s) are true? a. (i) only, b. (ii) only, c. (iii) only, d. (i) and (ii)
Summary:
In an isosceles triangle, one angle is 70°. The other two angles are 55° and 55°
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