If Delta ABC sim Delta PQR under the correspo | vedclass

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

Question

(A) In $\Delta ABC$,the sum of angles is $m \angle A + m \angle B + m \angle C = 180^{\circ}$.Given $m \angle A + m \angle B = 130^{\circ}$,substituti

Vedclass · Accepted Answer

$55$

Vedclass · Answer

(A) In $\Delta ABC$,the sum of angles is $m \angle A + m \angle B + m \angle C = 180^{\circ}$.Given $m \angle A + m \angle B = 130^{\circ}$,substituting this into the sum gives $130^{\circ} + m \angle C = 180^{\circ}$,so $m \angle C = 50^{\circ}$.Given $m \angle B + m \angle C = 125^{\circ}$,substituting $m \angle C = 50^{\circ}$ gives $m \angle B + 50^{\circ} = 125^{\circ}$,so $m \angle B = 75^{\circ}$.Since $m \angle A + m \angle B = 130^{\circ}$,we have $m \angle A + 75^{\circ} = 130^{\circ}$,so $m \angle A = 55^{\circ}$.Given the correspondence $ABC \leftrightarrow QPR$,the corresponding angles are $\angle A \leftrightarrow \angle Q$,$\angle B \leftrightarrow \angle P$,and $\angle C \leftrightarrow \angle R$.Therefore,$m \angle Q = m \angle A = 55^{\circ}$.

If $\Delta ABC \sim \Delta PQR$ under the correspondence $ABC \leftrightarrow QPR$,and given $m \angle A + m \angle B = 130^{\circ}$ and $m \angle B + m \angle C = 125^{\circ}$,find $m \angle Q$. (in $^{\circ}$)

Similar Questions

In $\Delta ABC$,$A-M-B$,$A-N-C$ and $\overline{MN} \parallel \overline{BC}$. If $AM = 2$,$MB = 5$ and $MN = 4$,find $BC$.

In rectangle $ABCD$,$AB^{2} + BC^{2} + CD^{2} + DA^{2} = 338$,then $AC = \ldots$

In $\Delta ABC$,$m \angle A = 90^{\circ}$. If $AB = 3x - 2$,$AC = 5x + 4$,and $BC = 6x + 2$,find the value of $x$.

In $\Delta ABC$,$m \angle B = 90^{\circ}$. If $AB = 6$ and $AC = 10$,find the area of $\Delta ABC$.

$A$ $6.5 \, m$ long ladder leans on a wall to reach a height of $6 \, m$ on the wall. Then,the lower end of the ladder remains $\ldots \ldots \ldots \ldots \, m$ away from the wall.

Vedclass Test Series

Exam Paper Generator

Online Exam Module