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}
View Answers

You're just one step away

Create your Digital Resume For FREE on your name's sub domain "yourname.wcard.io". Register Here!


Subjective Medium Published on 09th 09, 2020
Next Question
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86
Enroll Now For FREE

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

View Answer
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

View Answer
Q3 Subjective Medium
Calculate the followings.
1An angle is equal to one third of its supplement. Find its measure.
2If 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

View Answer
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

View Answer
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

View Answer