Question

three angels of a quadrilateral each measures 70° what is the measure of the fourth angle
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Answer 1

THREE ANGLES OF A QUADRILATERAL = 70⁰

LET THE FOURTH ANGLE BE x

ATP

70⁰ + 70⁰ + 70⁰ + x = 360⁰ [SUM OF ALL ANGLES OF A QUADRILATERAL IS 360⁰]

=210⁰ + x = 360⁰

=> x = 360⁰-210⁰

=> x = 150⁰

THEREFORE THE FOURTH ANGLE MEASURES 150⁰

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Answer 2

$\underline{\underline{\red{\textbf{Step - By - Step - Explanation : -}}}}$

To Find :

• measure of 4th angle of quadrilateral

Sᴏʟᴜᴛɪᴏɴ :

• Three angels of a quadrilateral each measures 70

Let the measure of 4th angle be x

Sum of all angles of quadrilateral = 360°

›› 70 + 70 + 70 + x = 360

›› 210 + x = 360

›› x = 360 - 210

›› x = 150°

$\large\dag \large { \red{\underline{\bf{Hence }}}}$

• Measure of 4th angle is 150°