Fill in the blanks:
(i) If two angles are complementary, then the sum of their measures is _____.
(ii) If two angles are supplementary, then the sum of their measures is _____.
(iii) Two angles forming a linear pair are _____.
(iv) If two adjacent angles are supplementary, they form a _____.
(v) If two lines intersect a point, then the vertically opposite angles are always _____.
(vi) If two lines intersect at a point and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are _____.

Solution:

We use the geometry concepts like supplementary angles, vertically opposite angles and adjacent angles to solve the problem.

(i) If two angles are complementary, then the sum of their measures is 90°.

(ii) If two angles are supplementary, then the sum of their measures is 180°.

(iii)Two angles forming a linear pair are supplementary.

(iv) If two adjacent angles are supplementary, they form a linear pair.

(v) If two lines intersect a point, then the vertically opposite angles are always equal.

(vi) If two lines intersect at a point and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are obtuse angles.

☛ Check: NCERT Solutions for Class 7 Maths Chapter 5

Video Solution:

Fill in the blanks:(i) If two angles are complementary, then the sum of their measures is _____.(ii) If two angles are supplementary, then the sum of their measures is _____.(iii) Two angles forming a linear pair are _____.(iv) If two adjacent angles are supplementary, they form a _____.(v) If two lines intersect a point, then the vertically opposite angles are always _____.(vi) If two lines intersect at a point and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are _____.

NCERT Solutions for Class 7 Maths Chapter 5 Exercise 5.1 Question 13

Summary:

(i) If two angles are complementary, then the sum of their measures is 90°. (ii) If two angles are supplementary, then the sum of their measures is 180°. (iii)Two angles forming a linear pair are supplementary. (iv) If two adjacent angles are supplementary, they form a linear pair. (v) If two lines intersect a point, then the vertically opposite angles are always equal and (vi) If two lines intersect at a point and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are obtuse angles.

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