Question

ABCD is a cyclic quadrilateral. If measure of angle BAD = 35°, what is measure of angle BCD ?

Answer 1

Answer: angle BCD =  140°

Step-by-step explanation:

ABCD is a cyclic quadrilateral

∴ angle BAD + angle BCD = 180°

∴ 35° + angle BCD = 180°

∴ angle BCD = 180° - 35°

∴ angle BCD = 145°

Answer 2

The measure of ∠BCD = 145°

Given :

• ABCD is a cyclic quadrilateral

• The measure of ∠BAD = 35°

To find :

The measure of ∠BCD

Concept :

The sum of the opposite angles of a cyclic quadrilateral is 180°

Solution :

Step 1 of 2 :

Write down the measure of the given angle

Here it is given that ABCD is a cyclic quadrilateral

Now the measure of ∠BAD = 35°

Step 2 of 2 :

Find the measure of ∠BCD

It is given that ABCD is a cyclic quadrilateral

∴ The sum of a pair of two opposite angles will be 180°.

∠BAD + ∠BCD = 180°

⇒ 35° + ∠BCD = 180°

⇒ ∠BCD = 180° – 35°

⇒ ∠BCD = 145°

Hence the measure of ∠BCD = 145°

Note : The figure is referred to the attachment

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ The angles of the triangle are 3x–40, x+20 and 2x–10 then the value of x is

(a) 40 (b) 35 (c) 50 (d) 45

https://brainly.in/question/4194032

2. which of the following can be constructed using ruler and pair of compass only 35 degree 40 degree 35.5 degree 47.5 degr...

https://brainly.in/question/32075231

#SPJ3