Question : If the angles of a triangle are (x – 6)°, (x + 26)°, and 8x°, then what is the value of 2x?
Option 1: 12°
Option 2: 16°
Option 3: 48°
Option 4: 32°
Answer (1)
23rd Jan, 2024
Correct Answer: 32°
Solution :
We know that the total sum of the angles of a triangle is 180°.
So, (x – 6)° + (x + 26)° + 8x° = 180°
⇒ (10x + 20)° = 180°
⇒ x = $\frac{180-20}{10}$ = 16°
⇒ 2x = 2×16° = 32°
Hence, the correct answer is 32°.
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