If Delta XYZ sim Delta DEF for the correspond | vedclass

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

Question

(C) Given that $\Delta XYZ \sim \Delta DEF$,the corresponding angles are equal: $m \angle X = m \angle D$,$m \angle Y = m \angle E$,and $m \angle Z =

Vedclass · Accepted Answer

$60$

Vedclass · Answer

(C) Given that $\Delta XYZ \sim \Delta DEF$,the corresponding angles are equal: $m \angle X = m \angle D$,$m \angle Y = m \angle E$,and $m \angle Z = m \angle F$.In $\Delta XYZ$,the sum of angles is $180^{\circ}$,so $m \angle X + m \angle Y + m \angle Z = 180^{\circ}$.Given $2 m \angle X = 3 m \angle Y$,we have $m \angle X = 1.5 m \angle Y$.Substituting the values into the sum equation: $1.5 m \angle Y + m \angle Y + 30^{\circ} = 180^{\circ}$.$2.5 m \angle Y = 150^{\circ}$.$m \angle Y = 150^{\circ} / 2.5 = 60^{\circ}$.Since $\Delta XYZ \sim \Delta DEF$,$m \angle E = m \angle Y = 60^{\circ}$.

If $\Delta XYZ \sim \Delta DEF$ for the correspondence $XYZ \leftrightarrow DEF$,and $2 m \angle X = 3 m \angle Y$ with $m \angle Z = 30^{\circ}$,find $m \angle E$. (in $^{\circ}$)

Similar Questions

Areas of two similar triangles are $36\, cm^{2}$ and $100\, cm^{2}$. If the length of a side of the larger triangle is $20\, cm$,find the length of the corresponding side of the smaller triangle. (in $cm$)

In $\Delta ABC$ and $\Delta PQR$,$\angle A \cong \angle Q$ and $\angle B \cong \angle R$. Which correspondence between them is a similarity?

If $S$ is a point on side $PQ$ of a $\triangle PQR$ such that $PS = QS = RS$,then

If in triangles $ABC$ and $DEF$,$\frac{AB}{DE} = \frac{BC}{FD}$,then they will be similar,when

In $\Delta ABC,$ $\overline{AD}$ is a median. If $AD=7,$ $AC=7$ and $BD=4,$ find the perimeter of $\Delta ABC.$

Vedclass Test Series

Exam Paper Generator

Online Exam Module