Question

One of the angle of a triangle is 65°. Find the remaining two angles, if their difference is 25°​

Answer 1

Answer:

here is the answer

Step-by-step explanation:

One of the angle of a triangle is = 65°

if their difference is = 25 °

25° - x = 65 °

so ,

x = 65° + 25 °

x = 90°

the another angle is 90°

PLEASE MARK AS BRAINLIST

Answer 2

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One of the angle of a triangle is 65°. Find the remaining two angles, if their difference is 25°

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$\sf\green{Given :}$

➣ One of the angles of a triangle is 65°

➣ The Difference of the remaining two angles is 25°

$\sf\red{To \: Find :}$

➣ The Measure of the remaining two angles

$\sf\pink{Solution :}$

➪ Let, the smaller angle = x°

➪ Let, the larger angle = x + 25

⇒ By using Angle Sum Property of Triangle

⇒ Sum of Angles in a triangle = 180°

⟼ 65° + x + x + 25° = 180°

⟼ 90° + 2x = 180°

⟼ 2x = 180° - 90°

⟼ 2x = 90°

⟼ x = $\cancel\frac{90}{2}$

⟼ x = 45°

➙ The Measure of the smaller angle of the triangle = x° = 45°

➙ The Measure of the larger angle of the triangle = x + 25° = 45° + 25° = 70°

➦ So, the remaining two angles of the triangle are 45° and 70°