Question

The measure of the three angles of a quadrilateral are 65 degree .75 dgree and 85 dgree .find the fourth angle

Answer 1

Answer:

the forth angle is {360-(65+75+85)} degree

={360-225}degree

=135degree

Answer 2

AnswEr :

☯ Given Measure of the three angles of a Quadrilateral are 65°, 75° & 85°.

We've to find out the measure of fourth angle of the Quadrilateral.

• ∠A = 65°
• ∠B = 75°
• ∠C = 85°
• ∠D = ?

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As, We know that :

${\bigstar \: {\underline{\sf{Sum \ of \ all \ angles \ of \ Quadrilateral \ is \ 360^{\circ} \: :}}}}$

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Therefore,

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$:\implies\sf \angle A + \angle B + \angle C + \angle D = 360^{\circ} \\\\\\:\implies\sf \angle 65^{\circ} + \angle 75^{\circ} + \angle 85^{\circ} + \angle D = 360^{\circ} \\\\\\:\implies\sf \angle D = 360^{\circ} - 225^{\circ} \\\\\\:\implies\boxed{\frak{\purple{\angle D = 135^{\circ}}}}$

ʜᴇɴᴄᴇ, ᴍᴇᴀsᴜʀᴇ ᴏғ ᴛʜᴇ ғᴏᴜʀᴛʜ ᴀɴɢʟᴇ ᴏғ ᴛʜᴇ ǫᴜᴀᴅʀɪʟᴀᴛᴇʀᴀʟ ɪs 135°.