Question

Which of the two equal angle of a triangle twice do third angle find the measure of all angle

Answer 1

Correct Question :

• Each of the two equal angle of a triangle twice the third angle . Find the measure of all angle

Answer :

• 36⁰ , 72⁰ are the measure of all angle.

Given :

• Each of the two angle of a triangle twice the third angle

Solution :

• Let the third angle be x
• Each equal angle be 2x

As we know that

• Sum of all the angles of a triangle is 180⁰

↬ x + 2x + 2x = 180⁰

↬ 5x = 180⁰

↬ x = 180⁰/5

↬ x = 36⁰

Third angle is 36⁰

To find the measure of all angles :

↬ 2x

↬ 2(36⁰)

↬ 72⁰

Hence , 36⁰ , 72⁰ are the measure of all angle.

Verification :

↬ x + 2x + 2x = 180⁰

↬36⁰ + 2(36⁰) + 2(36⁰) = 180⁰

↬ 36⁰ + 72⁰ + 72⁰ = 180⁰

↬ 36⁰ + 144⁰ = 180⁰

↬ 180⁰ = 180⁰

Hence , Verified

Answer 2

Answer:

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Step-by-step explanation:

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