Two adjacent angles of a parallelogram have equal measure. Find the measure of the angles of the parallelogram.
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Name (a) three elements that have a single electron in their outermost shells. (b) two elements that have two electrons in their outermost shells.
(a) Lithium (Li), sodium (Na), and potassium (K) have a single electron in their outermost shells. (b) Magnesium (Mg) and calcium (Ca) have two electrons in their outermost shells. (c) Neon (Ne),...
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The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral.
Suppose the measures of four angles are 3x, 5x, 9x and 13x. ∴ 3x + 5x + 9x + 13x = 360° [Angle sum property of a quadrilateral] ⇒ 30x = 360° ⇒...
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The measures of two adjacent angles of a parallelogram are in the ratio 3:2. Find the measure of each of the angles of the parallelogram.
Solution: Opposite angles of a parallelogram are always add upto 180°. So, 180°= 3x + 2x Or, 5x = 180° Or, x = 36° So, angles are; 36° x 3 = 108° And 36° x 2...
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Identify all the quadrilaterals that have: (a) Four sides of equal lengths. (b) Four right angles.
(a) Rhombus and square have sides of equal length. (b) Square and rectangle have four right angles.
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Four children measure the length of a table which was about 2 m. Each of them used different ways to measure it.
Salim would get the most accurate length. The reason is that in this case the length of the table can be measured in one go because the measuring tape is...
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Two photons having (a) equal wavelengths have equal linear momenta
(d) equal linear momenta have equal wavelengths.
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Two complementary angles are in the ratio 7 : 8 the angles are (a) 30°, 60° (b) 40°, 50° (c) 42°, 48° (d) 27°, 63°
(c) Let the angles be 7x and 8x given angle are complementary to each other. 7x + 8x = 90° 15x = 90° x = 6° 7x = 7 ×...
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If <A = (4x + 2)°, the measure of the complementary of <A is equal to (a) (178 + 4x)° (b) (88 – 4x)° (c) (4x + 88)° (d) (6x – 178)°
(b) Complementary of <A = 90° – <A = 90° – (4x + 2)° = 90° – 4x° – 2° = (88 – 4x)°
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<1 and <2 are complementary angles <2 and <3 are supplementary angles. If <1 = 45°, then <3 measures (a) 145° (b) 135° (c) 45° (d) 150°
(b) <1 + <2 90° (complementary angles) <2 = 90° – <1 90° – 45° <2 = 45° <2 + <3 = 180°(supplementary angles) <3 = 180° – <2 <3...
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If one angle of a triangle is equal to the sum of the other two angles, the triangle must be:
(b) Let x, y and z is the angles, where x = y + z x + y + z = 180° (angle sum property) (y + z) + y...
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