Question

ABCD Is a cyclic quadrilateral, also angle A + angle D = 210°, angle D + angle C = 250° a) what is angle A+ angle C b) find the measures of angle A and angle C​

Answer 1

Step-by-step explanation:

$\blue{ \bf{ \underline{ question \: : - }}}$

ABCD Is a cyclic quadrilateral, also angle A + angle D = 210°, angle D + angle C = 250°

GIVEN,

• ∠A + ∠D = 210°

• ∠D + ∠C = 250°

TO FIND,

• ∠A +∠C =?

• ∠A =?

• ∠C =?

SOLUTION:-

∠A +∠C+ ∠A + ∠D = 180° + 210°

=>2∠A + ∠C+ ∠D = 390°

=> 2∠A +250° = 390°

=> 2∠A = 390° - 250°

=> 2∠A =140°

=> ∠A = 140/2

=> ∠A = 70°

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∠A +∠C = 180°

=> 70° +∠C = 180°

=> ∠C = 180° - 70°

=> ∠C = 110°

__________________

∠A +∠C

= 70° + 110°

= 180°

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