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Standard VII

Mathematics

Equal Angles Subtend Equal Sides

Draw the imag...

Question

Draw the image P', Q' and R' of the point P, Q and R, respectively in the line n (Fig. 9.9). Join P' Q' and Q' R' to from an angle P' Q' R' . Measure $∠$ PQR and $∠$ P'Q'R' . Are the two angles equal?

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Solution

Yes both the angles are equal.

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Similar questions

Question 73

Draw the images P`, Q`, and R` of the points P, Q, and R respectively in the line $n$ . Join P`Q` and Q`R` to form an angle P`Q`R`. Measure $∠ P Q R$ and $∠ P ‘ Q ‘ R ‘$ . Are the two angles equal?

Q. Let

p, q

and

r

be the sides opposite to the angles

P, Q

and

R

respectively in a

△ P Q R

. Then

2 p r sin (\frac{P - Q + R}{2})

equals

Q. In fig, sides

Q P

and

R Q

of triangle

P Q R

are produced to point

S

and

T

respectively. If angle

S P R = 135^{\circ}

and angle

P Q T = 110^{\circ},find ∠ P R Q

Q. In Fig. 3, two tangents PQ are PR are drawn to a circle with centre O from an external point P. Prove that ∠QPR = 2 ∠OQR.

Q. In fig 2.25, sides QP and RQ of

∆

PQR are produced to the points S and T respectively. If

∠

SPR = 105

°

∠

PQT = 110

°

then find

∠

PRQ.

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Draw the image P', Q' and R' of the point P, Q and R, respectively in the line n (Fig. 9.9). Join P' Q' and Q' R' to from an angle P' Q' R' . Measure ∠PQR and ∠P'Q'R' . Are the two angles equal?

Yes both the angles are equal.

Draw the image P', Q' and R' of the point P, Q and R, respectively in the line n (Fig. 9.9). Join P' Q' and Q' R' to from an angle P' Q' R' . Measure $∠$ PQR and $∠$ P'Q'R' . Are the two angles equal?