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## AP Board Class 9 Maths Chapter 12 Circles Ex 12.5 Textbook Solutions PDF: Download Andhra Pradesh Board STD 9th Maths Chapter 12 Circles Ex 12.5 Book Answers

 AP Board Class 9 Maths Chapter 12 Circles Ex 12.5 Textbook Solutions PDF: Download Andhra Pradesh Board STD 9th Maths Chapter 12 Circles Ex 12.5 Book Answers

## Andhra Pradesh State Board Class 9th Maths Chapter 12 Circles Ex 12.5 Books Solutions

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## AP Board Class 9th Maths Chapter 12 Circles Ex 12.5 Textbooks Solutions with Answer PDF Download

Find below the list of all AP Board Class 9th Maths Chapter 12 Circles Ex 12.5 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:

## AP State Syllabus 9th Class Maths Solutions 12th Lesson Circles Exercise 12.5

Question 1.
Find the values of x and y in the figures given below.
i)

Solution:
From the figure x = y [ ∵ angles opp. to opp. to equal sides]
But x + y + 30° = 180°
∴ x + y = 180° – 30° = 150°
⇒ x + y = 150°2 = 75°

ii)

Solution:
From the figure x° + 110° = 180°
[ ∵ Opp. angles of a cyclic quad, are supplementary]
y + 85°= 180°
∴ x= 180° – 110°; y = 180° – 85°
x = 70°; y = 95°

iii)

Solution:
From the figure x = 90° [angle in a semi-circle]
∴ y = 90° – 50° [∵ angle sum property]
= 40°

Question 2.
Given that the vertices A, B, C of a quadrilateral ABCD lie on a circle. Also ∠A + ∠C = 180°, then prove that the vertex D also lie on the same circle.
Solution:
Given : ∠A + ∠C = 180°
∴ ∠B + ∠D = 360° – 180°
[ ∵ sum of the four angles of a quad. is 360 ].
Now in □ABCD, sum of the pairs of opp. angles is 180°.
∴ □ABCD must be a cyclic quadrilateral, i.e., D also lie on the same circle on which the vertices A, B and C lie. Hence proved.

Question 3.
Prove that a cyclic rhombus is a square.
Solution:

Let □ABCD be a cyclic rhombus,
i.e., AB = BC = CD = DA and
∠A + ∠C = ∠B + ∠D = 180°
But a rhombus is basically a parallelo-gram.

Question 4.
For each of the following, draw a circle and inscribe the figure given. If a poly¬gon of the given type can’t be in-scribed, write not possible.
a) Rectangle
b) Trapezium .
c) Obtuse triangle
d) Non-rectangular parallelogram
e) Acute isosceles triangle
f) A quadrilateral PQRS with PR as diameter.
Solution:

## Andhra Pradesh Board Class 9th Maths Chapter 12 Circles Ex 12.5 Textbooks for Exam Preparations

Andhra Pradesh Board Class 9th Maths Chapter 12 Circles Ex 12.5 Textbook Solutions can be of great help in your Andhra Pradesh Board Class 9th Maths Chapter 12 Circles Ex 12.5 exam preparation. The AP Board STD 9th Maths Chapter 12 Circles Ex 12.5 Textbooks study material, used with the English medium textbooks, can help you complete the entire Class 9th Maths Chapter 12 Circles Ex 12.5 Books State Board syllabus with maximum efficiency.

## FAQs Regarding Andhra Pradesh Board Class 9th Maths Chapter 12 Circles Ex 12.5 Textbook Solutions

#### Can we get a Andhra Pradesh State Board Book PDF for all Classes?

Yes you can get Andhra Pradesh Board Text Book PDF for all classes using the links provided in the above article.

## Important Terms

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