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