Delta ABC sim Delta DEF for the correspondenc | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) In $\Delta DEF$,the sum of angles is $180^{\circ}$.Given $m \angle E + m \angle F = 130^{\circ}$.Therefore,$m \angle D = 180^{\circ} - (m \angle E

Vedclass · Accepted Answer

$50$

Vedclass · Answer

(C) In $\Delta DEF$,the sum of angles is $180^{\circ}$.Given $m \angle E + m \angle F = 130^{\circ}$.Therefore,$m \angle D = 180^{\circ} - (m \angle E + m \angle F) = 180^{\circ} - 130^{\circ} = 50^{\circ}$.Since the correspondence $ABC \leftrightarrow FDE$ represents a similarity,the corresponding angles are equal.Specifically,$\angle B$ corresponds to $\angle D$.Therefore,$m \angle B = m \angle D = 50^{\circ}$.

$\Delta ABC \sim \Delta DEF$ for the correspondence $ABC \leftrightarrow FDE$. If $m \angle E + m \angle F = 130^{\circ}$,then $m \angle B = \dots$ (in $^{\circ}$)

Similar Questions

In $\Delta ABC$ and $\Delta XYZ$,$\angle A \cong \angle Y$ and $\angle B \cong \angle Z$. If $\frac{AC}{YX} = \frac{5}{7}$ and $AB = 7$,find $YZ$.

In $\Delta ABC$,$A-M-B$,$A-N-C$ and $\overline{MN} \parallel \overline{BC}$. If $AM = x$,$MB = x-2$,$AN = x+2$ and $NC = x-1$,find the value of $x$.

In $\Delta PQR$,$m \angle Q = 90^{\circ}$. If $PQ = 33$ and $PR = 65$,find $QR$.

Two adjacent sides of a rectangle measure $12$ and $35$. Then,the length of a diagonal of the rectangle is..........

In $\Delta ABC$,$m \angle B = 90^{\circ}$. If $a = 9$ and $c = 12$,then $b = \dots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module