NCERT Solutions
Class 9 - Mathematics - Chapter 6: LINES AND ANGLES

EXERCISE 6.2

In Fig. 6.23, if \(AB \parallel CD\), \(CD \parallel EF\) and \(y : z = 3 : 7\), find \(x\).

In Fig. 6.24, if \(AB \parallel CD\), \(EF \perp CD\) and \(\angle GED = 126^\circ\), find \(\angle AGE\), \(\angle GEF\) and \(\angle FGE\).

In Fig. 6.25, if \(PQ \parallel ST\), \(\angle PQR = 110^\circ\) and \(\angle RST = 130^\circ\), find \(\angle QRS\).

In Fig. 6.26, if \(AB \parallel CD\), \(\angle APQ = 50^\circ\) and \(\angle PRD = 127^\circ\), find \(x\) and \(y\).

In Fig. 6.27, PQ and RS are two mirrors placed parallel to each other. A ray \(AB\) strikes mirror PQ at \(B\), reflects along \(BC\), then hits mirror RS at \(C\) and reflects back along \(CD\). Prove that \(AB \parallel CD\).