Q. 124.0( 15 Votes )
In the given figure, AB||CD. Find the value of x.
Answer :
x=20
Given AB||CD
Therefore,
=
[Crossponding angles]
= 95° ___________________ (i)
In CD straight line,
⇒ 
+
=180°
⇒ 115° + 
= 180°
⇒ 
= 65°
In triangle GHQ,
⇒ ∠QGH + ∠GHQ + ∠GQH = 180°
⇒ 95° + 65° + x = 180°
⇒ x = 20°
Rate this question :
Quiz | Lines and Angles40 mins
Quiz | Lines and Angles43 mins
Lines and Angles45 mins
Quiz | Lines and Angles45 mins
NCERT | Intersecting and Non Intersecting lines)41 mins
NCERT | Discussion on Lines And Angles45 mins
NCERT | Angle Sum Property44 mins
Smart Revision | All Types of Angles31 mins
Bonus Questions on Lines and Angles42 mins
NCERT | Lines and Angles Part - 142 mins
Each question consists of two statements, namely, Assertion (A) and Reason (R). Please select the correct answer.
In the given figure, PQ>PR and QS and RS are the bisectors of ∠Q and ∠R respectively. Show that SQ>SR
In
, if 
-
=42°and
-
=21°, Find
,
and
.
Of the three angles of a triangle, one is twice the smallest and mother one is thrice the smallest. Find the angle.
RS Aggarwal & V Aggarwal - MathematicsOf the three angles of a triangle are equal and the third angle is greater than each one of them by 18°. Find the angle.
RS Aggarwal & V Aggarwal - MathematicsTwo adjacent angles on a straight line are in the ratio 5:4 Find the measure of each one of these angles.
RS Aggarwal & V Aggarwal - MathematicsIn the adjoining figure, AC>AB and AD is the bisector of ∠A. show that ∠ADC>∠ADB.
In the given figure, ABC is a triangle in which
:
:
=3:2:1 and AC 
CD. Find the measure of
.
In ∆ABC, ∠B=35°,∠C=65° and the bisector of ∠BAC meets BC in X. Arrange AX, BX and CX in descending order.
In ∆ABC, side AB is produced to D such that BD=BC. If ∠B=60° and ∠A=70°, prove that (i) AD>CD and (ii) AD>AC.
