One of the angle of a triangle is 65°. Find the remaining two angles, if their difference is 25°
Answers
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°
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One of the angle of a triangle is 65°. Find the remaining two angles, if their difference is 25°
➣ One of the angles of a triangle is 65°
➣ The Difference of the remaining two angles is 25°
➣ The Measure of the remaining two angles
➪ 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 =
⟼ 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°