Q69 of 158 Page 159

Fill in the blanks to make the statements true.

In Fig. 6.27,


(i) ∠TPQ = ∠____PQR____ + ∠____PRQ____


(ii) ∠UQR = ∠____QPR____ + ∠____PRQ____


(iii) ∠PRS = ∠____RPQ____ + ∠____PQR____


Exterior angle property

Exterior angle of triangle is equal to sum of opposite interior angles


As ∠TPQ is exterior angle of ∠P it will be equal to ∠R + ∠Q of ΔPQR


As ∠UQR is exterior angle of ∠Q it will be equal to ∠P + ∠R of ΔPQR


As ∠PRS is exterior angle of ∠R it will be equal to ∠P + ∠Q of ΔPQR


More from this chapter

All 158 →
67

Fill in the blanks to make the statements true.

In Fig. 6.25, ∆ARO ≅ ∆ ____PQO____


 68

Fill in the blanks to make the statements true.

In Fig. 6.26, AB = AD and ∠BAC = ∠DAC. Then


(i) ∆ ___ADC___ ≅ ∆ABC.


(ii) BC = ___CD___.


(iii) ∠BCA = ___∠DCA___.


(iv) Line segment AC bisects ___∠A____and ____∠C___.


 70

State whether the statements are True or False.

In a triangle, sum of squares of two sides is equal to the square of the third side.

 71

State whether the statements are True or False.

Sum of two sides of a triangle is greater than or equal to the third side.