Mathematics

In $\Delta$ PQR, seg PM is a median of $\Delta$PQR. Bisectors of $\angle$PMQ and $\angle$PMR intersect side PQ and PR at X and Y respectively. Show that $\Delta$ PQR is similar to $\Delta$ PXY.

SOLUTION
$\begin{array}{l} \angle QMP+\angle PMR=180^{ \circ } \\ L.pair \\ \angle PXY+\angle QXY=180^{ \circ }\, \, \left\{ { L.P } \right\} \\ \angle PYX+\angle RYX=180^{ \circ } \end{array}$
Sum of angle formed but 0 is $180^\circ$
1.e L.P {Axioro} You're just one step away

Subjective Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86

Realted Questions

Q1 Single Correct Medium
$\angle\, A$ is supplementary to $\angle\, B,\, \angle\, B$ is complementary to $\angle\, C$. If $\angle\, A\, =\, 118^\circ$, what is the measure of $\angle\, C$ ?
• A. $62^\circ$
• B. $34^\circ$
• C. $118^\circ$
• D. $28^\circ$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Single Correct Medium
In the adjoining figure, AB$||$CD and PQ, QR intersects AB and CD both at E, F and G, H respectively. Given that $\angle$PEB$=80^o$, $\angle$QHD$=120^o$ and $\angle$PQR$=x^o$, find the value of x.
• A. $40$
• B. $100$
• C. $30$
• D. $20$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Subjective Medium
 Calculate the followings. 1 An angle is equal to one third of its supplement. Find its measure. 2 If an angle is ${30^ \circ }$ more than one half of its complement, find the measure of the angle.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q4 Single Correct Medium
At which one of the following times is the angle between the hands of the clock equal to one straight angle?
• A. $12 : 00$
• B. $8 : 43$
• C. $8 : 00$
• D. $12 : 30$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Single Correct Medium
Mark the correct alternative of the following.
In figure, AB$||$CD and EF is a transversal. The value of $y-x$ is?
• A. $35$
• B. $95$
• C. $25$
• D. $30$

Asked in: Mathematics - Straight Lines

1 Verified Answer | Published on 17th 08, 2020