Home
Class 10
MATHS
Given : square ABCD is cyclic. ...

Given `:`
`square ` ABCD is cyclic. `/_DCE ` is an exterior angle of `square ` ABCD.
To Prove `: /_DCE = /_BAD `
Complete the proof by filling the boxes.

Text Solution

Verified by Experts

Proof `:` `/_DCE + /_BCD = 180^(@)` …..( Linear pair of angles ) …(1)
`square ` ABCD is cyclic
`:. /_BAD + /_BCD = 180^(@)` .... (Theorem of cyclic quadrilateral ) ..(2)
`:.` from (1) and (2) , we get
`/_DCE + /_BCD = /_ BAD +/_BCD `
`:. /_DCE = /_ BAD `
`:. /_DCE ~= /_BAD `.
Promotional Banner

Topper's Solved these Questions

  • THEOREMS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PYTHAGORAS THEOREM|4 Videos

  • STATISTICS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise EXAMPLES FOR PRACTICE (MCQs)|35 Videos

  • TRIGONOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise CHALLENGING QUESTIONS|6 Videos

Similar Questions

Explore conceptually related problems

ABCD is a square and ABE is an equilateral triangle outside the square then

ABCD is a cyclic quadrilaterial , find it's angles .

A square ABCD is inscribed in a circle of radius r . Find the area of the square.

If the length of diagonal BD of a square ABCD is 4.8 cm, the area of the square ABCD is :

In the figure square ABCD is a cyclic quadrilateral.Seg AB is a diameter . If angleADC=120^@ , complete the following activity to find the measure of angleBAC .