Download App

Constructions — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSConstructions1 Mark
MCQ
Mark $(\checkmark)$ against the correct answer.In the given figure, $\text{PQ}\parallel\text{RS,}\angle\text{PAB}=60^\circ$ and $\angle\text{ACS}=100^\circ.$ Then $\angle\text{BAC}={}?$
  • ✓
    $40^\circ$
  • B
    $60^\circ$
  • C
    $80^\circ$
  • D
    $50^\circ$
✓

Answer

Correct option: A.
$40^\circ$
In the given figure,
$\text{PQ}\parallel\text{RS,}$
$\angle\text{PAB}=60^\circ$ and $\angle\text{ACS}=100^\circ$
$\text{PQ}\parallel\text{RS}$
$\angle\text{ABC}=\angle\text{PAB}$ (alternate angles) $60^\circ$
But Ext. $\angle\text{ACS}=\angle\text{BAC}+\angle\text{ABC}$
$\Rightarrow100^\circ\angle\text{BAC}+60^\circ$
$\Rightarrow\angle\text{BAC}=100^\circ-60^\circ=40^\circ$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q. [1 Marks Each]" from Constructions→Constructions — all question types→MATHS STD 7 question papers→Gujarat Board STD 7 question papers→Gujarat Board question paper generator→

Similar questions

The measure of the supplement of the angle $120^\circ $ is
→
If the mean of n observations is 12 and the sum of the observations is 132, then the value of n is
→
$\frac{1}{4}$ as a percent is.
→
Lines $PQ$ and $RS$ intersect at $O.$ If $\angle\text{POR}$ is three times $\angle\text{ROQ}$, then $\angle\text{SOQ}$ is:
→
If $p:$ All integers are rational numbers and $q:$ Every rational number is an integer, then which of the following statement is correct?
→
The reciprocal of a negative rational number is:
→
The sum of twice a number and $4$ is $18,$ then the number is:
→
$\triangle \text{ABC}$ is a right triangle right angled at $A$. If $AB = 24\ cm$ and $AC = 7\ cm,$ then $BC =$
→
$\frac{4}{5}$ of $5\ kg$ apples were used on Monday. The next day $\frac{1}{3}$ of what was left was used. Weight (in kg) of apples left now is:
→
Find:$ 7^5 ÷ 7^3=$
→