Question

Hi please answer this questions

(1) If two angles are complementary then the sum of their measures is______.
(2) Two angles forming a linear pair are_____.
(3) If two adjacent angles are supplementary they form a______.
(4) Give two examples each of right, acute and obtuse angles from your environment
(5) what is the measure of the angle in degrees between North and South-east?
(6) A ship sailing in River jhelam moves towards east. If it changes to North, through what
angle does it turn?
(7) A bicycle wheel makes four and a half turns find the number of right angles through

which it turns.
(8) You are standing in the classroom facing towards North , in what direction will you face

after making a quarter turn clockwise.

(9) If complement of an angle is 28º , then find its supplementary angle.

(10) If angles (2x-10)º and (x-5)º are complementary angles, find x.​

Answer 1

Answer:

1) 90 degree

2) 180 degree

3) linear pair

Step-by-step explanation:

Answer 2

Answer:

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.