<\/span><\/h2>\nQuestion 1.
Define complementary angles.
Solution:
Two angles whose sum is 90\u00b0, are called complementary angles.<\/p>\n
Question 2.
Define supplementary angles.
Solution:
Two angles whose sum is 180\u00b0, are called supplementary angles.<\/p>\n
Question 3.
Define adjacent angles.
Solution:
Two angles which have common vertex and one arm common are called adjacent angles.<\/p>\n
Question 4.
The complement of an acute angles is\u2026\u2026.
Solution:
The complement of an acute angles is an acute angle.<\/p>\n
Question 5.
The supplement of an acute angles is\u2026\u2026\u2026
Solution:
The supplement of an acute angles is a obtuse angle.<\/p>\n
Question 6.
The supplement of a right angle is\u2026\u2026.
Solution:
The supplement of a right angle is a right angle.<\/p>\n
Question 7.
Write the complement of an angle of measure x\u00b0.
Solution:
The complement of x\u00b0 is (90\u00b0 \u2013 x)\u00b0<\/p>\n
Question 8.
Write the supplement of an angle of measure 2y\u00b0.
Solution:
The supplement of 2y\u00b0 is (180\u00b0 \u2013 2y)\u00b0<\/p>\n
Question 9.
If a wheel has six spokes equally spaced, then find the measure of the angle between two adjacent spokes.
Solution:
Total measure of angle around a point = 360\u00b0
Number of spokes = 6
\u2234 Angle between the two adjacent spokes =\u00a0\\(\\frac { { 360 }^{ \\circ } }{ 6 }\\) = 60\u00b0<\/p>\n
Question 10.
An angle is equal to its supplement. Determine its measure.
Solution:
Let required angle = x\u00b0
Then its supplement angle = 180\u00b0 \u2013 x
x = 180\u00b0 \u2013 x
\u21d2 x + x = 180\u00b0
\u21d2\u00a0 2x = 180\u00b0 \u21d2\u00a0 x = \\(\\frac { { 180 }^{ \\circ } }{ 2 }\\) = 90\u00b0
\u2234 Required angle = 90\u00b0<\/p>\n
Question 11.
An angle is equal to five times its complement. Determine its measure.
Solution:
Let required measure of angle = x\u00b0
\u2234\u00a0 Its complement angle = 90\u00b0 \u2013 x
\u2234\u00a0 x = 5(90\u00b0 \u2013 x)
\u21d2\u00a0 x = 450\u00b0 \u2013 5x
\u21d2\u00a0 x + 5x = 450\u00b0
\u21d2\u00a0 6x = 450\u00b0
\u21d2 x = \\(\\frac { { 450 }^{ \\circ } }{ 6 }\\) = 75\u00b0
\u2234 Required angle = 75\u00b0<\/p>\n
Question 12.
How many pairs of adjacent angles are formed when two lines intersect in a point?
Solution:
If two lines AB and CD intersect at a point O, then pairs of two adjacent angles are, \u2220AOC and \u2220COB, \u2220COB and \u2220BOD, \u2220BOD and DOA, \u2220DOA and \u2220ZAOC
i.e, 4 pairs
![\"RD](\"https:\/\/farm2.staticflickr.com\/1956\/44717750205_f0721aa81b_o.png\")
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This is the complete blog on RD Sharma Class 9 Solutions Chapter 10 VSAQs. To know more about the CBSE<\/a> Class 9 Maths exams, ask in the comments.\u00a0<\/p>\n
![\"RD](\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-10-VSAQS.jpg\")
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