Mathematics

In the given diagram CE is  parallel to AD and the measures of two angles at B and C have been indicated .Then $\angle DAB$  is equal to

$40^{\circ}$

SOLUTION
Since, CE || DA
$\angle ECF =\angle DFB = 70$

$\angle DFB + \angle AFB = 180$(angles on a straight line)
thus, $\angle AFB = 110$

In $\Delta AFB$,
$\angle AFB + \angle FBA + \angle BAF = 180$
$110 + 30 + \angle BAF = 180$
$\angle BAF = 180- 140$
$\angle BAF = 40^{\circ}$

You're just one step away

Single Correct Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86

Realted Questions

Q1 One Word Medium
Find the supplementary angles of the given angles(in degrees).

$105^0$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 23rd 09, 2020

Q2 Single Correct Medium
In a triangle, one angle is of $90^{o}$. Then
(i) The other two angles are of $45^{o}$ each
(ii) In remaining two angles, one angle is $90^{o}$ and other is $45^{o}$
(iii) Remaining two angles are complementary In the given option(s) which is true?
• A. (i) only
• B. (ii) only
• C. (i) and (ii)
• D. (iii) only

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Single Correct Medium
Find the complement of each of the following angles $20^{\circ}$
• A. $60^{\circ}$
• B. $110^{\circ}$
• C. None of these
• D. $70^{\circ}$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 23rd 09, 2020

Q4 Subjective Medium
Let $l$ be a line and $P$ be a point not on $l$. Through $P$, draw a line $m$ parallel to $l$. Now join $P$ to any point $Q$ on $l$. Choose any other point $R$ on $m$. Through, $R$, draw a line parallel to $PQ$. Let this meet $l$ at $S$. What shape do the two sets of parallel lines enclose?

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Subjective Medium
From the adjoining figure find $x$,  i $AOB$ is a straight line. Hence complete the following
Which is an acute angle?

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020