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Diagonals of a rectangle PQRS are intersecting in point M. If ∠QMR = 50° find the measure of ∠MPS.
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If a transversal intersects two parallel lines then the sum of interior angles on the same side of the transversal is ______.
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On a graph paper plot the points A (3, 0), B(3, 3), C(0, 3). Join A, B and B, C. What is the figure formed?
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Write the equation of the line parallel to the Y-axis at a distance of 7 units from it to its left.
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Some points are shown in the following figure. With the help of it answer the following questions:

- Write the co-ordinates of the points Q and R.
- Write the co-ordinates of the points T and M.
- Which point lies in the third quadrant?
- Which are the points whose x and y co-ordinates are equal?
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Find the values of -
5 sin 30° + 3 tan 45°
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Find the values of -
`4/5` tan2 60° + 3sin2 60°
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Plot the following points on the one and the same co-ordinate system.
A(1, 3), B(-3, -1), C(1, -4), D(-2, 3), E(0, -8), F(1, 0)
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Find the values of -
2 sin 30° + cos 0° + 3 sin 90°
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Find the values of -
`[tan 60°]/[sin 60° + cos 60°]`
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Find the values of-
cos2 45° + sin2 30°
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Find the values of -
cos 60° × cos 30° + sin 60° × sin 30°
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If sin θ = `4/5` then find cos θ.
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If cos θ = `15/17` then find sin θ.
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Which of the following is the value of sin 90°?
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2 tan 45° + cos 45° − sin 45° = ?
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Find the values of x and y using the information shown in the figure.

Find the measure of ∠ABD and m∠ACD.
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ΔABC is isosceles in which AB = AC. Seg BD and seg CE are medians. Show that BD = CE.
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The number of angles formed by a transversal of two lines is ______.
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Find the distance with the help of the number line given below.

d(B, E)
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