MCQ
In the given below figure, the measure of $\angle\text{AED}$ is:
- A$140^\circ$
- ✓$130^\circ$
- C$120^\circ$
- D$110^\circ$
✓
Answer
Correct option: B.
$130^\circ$
in $\triangle\text{ABC}$$\angle\text{ABC}+\angle\text{ACB}+\angle\text{BAC}=180^\circ$ (Angle sum property)
$\angle\text{ACB}=180^\circ-25^\circ-45^\circ$
$\angle\text{ACB}=110^\circ$
$\angle\text{ACB}+\angle\text{ACD}=180^\circ$ (Linear pair)
$\angle\text{ACD}=180^\circ-110^\circ=70^\circ$
In $\triangle\text{CED}$
$\angle\text{AED}+\angle\text{EDC}+\angle\text{EDC}$ (Exterior angle is equal to sum of its two interior opposite angles)
$\angle\text{AED}=60^\circ+75^\circ=130^\circ.$
$\angle\text{ACB}=180^\circ-25^\circ-45^\circ$
$\angle\text{ACB}=110^\circ$
$\angle\text{ACB}+\angle\text{ACD}=180^\circ$ (Linear pair)
$\angle\text{ACD}=180^\circ-110^\circ=70^\circ$
In $\triangle\text{CED}$
$\angle\text{AED}+\angle\text{EDC}+\angle\text{EDC}$ (Exterior angle is equal to sum of its two interior opposite angles)
$\angle\text{AED}=60^\circ+75^\circ=130^\circ.$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Write the correct answer in the following: The total number of propositions in the Elements are:
Write the correct answer in the following: $\sqrt{10}\times\sqrt{15}$ is equal to.
→If $ABC$ is an arc of a circle and $\angle\text{ABC} = 135^\circ,$ then the ratio of arc $\widehat{\text{ABC}}$ to the circumference is:
→Write the correct answer in the following: It is known that if $x + y = 10$ then $x + y + z = 10 + z.$ The Euclid’s axiom that illustrates this statement is:
→The bisects of exterior angles at $B$ and $C$ of $\triangle\text{ABC}$ meet at $O$. If $\angle\text{A}=\text{x}^\circ,$ then $\angle\text{BOC}=$
→The cost of a notebook is twice the cost of a pen. The equation to represent this statement is
The diagonals of a parallelogram $ABCD$ intersect at $O$. if $\angle\text{BOC}=90^\circ$ and $\angle\text{BDC}=50^\circ,$ then $\angle\text{AOB}=$
→In the following, write the correct answer.It is given that $\triangle\text{ABC}=\triangle\text{FDE}$ and $AB = 5\ cm$, $\angle \text{B} = 40^\circ $and $\angle \text{A} = 80^\circ $then which of the following is true?
→In the given $x =?$
→If each observation of the data is decreased by $8$ then their mean:
→