Question

Find x and y in the figure

Answer 1

HERE IS YOUR ANSWER...⬇⬇

$\boxed{SOLUTION}$ ➡

In this figure ,

(y + 23)°= 63° [Opposite Angles]

=> y +23° = 63°

=> y = 63°-23°

=> y = 40°

Again,

(2x - 17)° + 63° = 180° [Adjacent Angles]

=> 2x - 17° + 63° = 180°

=> 2x + 46° = 180°

=> 2x = 180° - 46°

=> 2x = 134°

=> x = 134°/2

=> x = 67°

$\boxed{ANSWER}$ ➡

x = 67° and y = 40°

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✝✝…HOPE IT HELPS YOU…✝✝

Answer 2

Find x and y in the figure.

           (y + 23) = 63° [Vertically Opposite Angles are Equal]  

                ⇒ y + 23 = 63

                ⇒ y = 63 - 23

             ⇒ y = 40

        (2x - 17) + (y + 23) = 180°       [Adjacent Angles]

                 ⇒   (2x - 17) + 63° = 180°      [ ∵ y + 23 = 63°]

                 ⇒ 2x - 17 + 63 = 180

                 ⇒ 2x + 46 = 180

                 ⇒ 2x = 180 - 46

                 ⇒ 2x = 134

                 ⇒ x = 134/2

             ⇒ x = 67

            ∴ x = 67 and y = 40

HOPE IT HELPS ...