Q. 94.1( 38 Votes )

# Using the information in figure 3.12, find the measures of ∠a, ∠b and ∠c.

Answer :

In the given triangle

a + b + c = 180° …………(1)

c + 100° = 180° ……….(2) [angles in linear pair]

⇒ c = 180° - 100°

⇒ c = 80°

b = 70° ……………..(3) [opposite angles are equal]

Putting value of b and c in (1)

⇒ a + 70° + 80° = 180°

⇒ a = 180° - 150°

⇒ a = 30°

Rate this question :

In ΔPQR, ∠Q =90^{0}, PQ = 12, QR = 5 and QS is a median. Find *t*(QS).

In figure 3.13, line DE || line GF ray EG and ray FG are bisectors of ∠DEF and ∠DFM respectively.

Prove that,

i. ∠DEG = 1/2∠EDF

ii. EF =FG.

MHB - Math Part-II

In Figure 3.11, line AB || line CD and line PQ is the transversal. Ray PT and ray QT are bisectors of ∠BPQ and ∠PQD respectively.

Prove that ∠PTQ = 90°.

MHB - Math Part-II

In figure 3.49, ∠RST = 56°, seg PT ⊥ ray ST, seg PT ⊥ ray ST, seg PR ⊥ ray SR and PR ≅ seg PT Find the measure of ∠RSP. State the reason for your answer.

MHB - Math Part-II

In ΔPQR, ∠P = 70° ∠Q = 65° then find ∠R.

MHB - Math Part-II