Q2 of 95 Page 14

In a parallelogram ABCD, if ∠B=135°, determine the measures of its other angles.

Given,


∠B = 135∘


∠A + ∠B = 180∘ (supplementary angles of parallelogram)


∠A = 180∘ – 135∘ = 45∘


∠C = ∠A = 45∘ (opposite angles of parallelogram)


∠D = ∠B = 135∘


More from this chapter

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10

Which of the following statements are true (T) and which are false (F)?

(i) In a parallelogram, the diagonals are equal.

(ii) In a parallelogram, the diagonals bisect each other.

(iii) In a parallelogram, the diagonals intersect each other at right angles.

(iv) In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.

(v) If all the angles of a quadrilateral are equal, it is a parallelogram.

(vi) If three sides of a quadrilateral are equal, it is a parallelogram.

(vii) If three angles of a quadrilateral are equal, it is a parallelogram.

(viii)If all the sides of a quadrilateral are equal it is a parallelogram.

 1

In a parallogram ABCD, determine the sum of angles ∠C and ∠D.

 3

ABCD is a square. AC and BD intersect at O. State the measure of ∠AOB.

 4

ABCD is a rectangle with ∠ABD=40°. Determine ∠DBC.