Whittaker4everidn
Answered

IDNLearn.com is the place where your questions are met with thoughtful and precise answers. Join our community to receive prompt and reliable responses to your questions from knowledgeable professionals.

The sum of the angles of a triangle is 180. Find the three angles if one angle is twice the smallest angle and the third angle is 36 degrees greater than the smallest angle. Place them in order from least to greatest.

Sagot :

Mhanifaidn

Answer:

  • 36°, 72°, 72°

Step-by-step explanation:

The angles are x, y and z:

  • x = 2y, z = y + 36

Their sum is:

  • x + y + z = 180
  • 2y + y + y + 36 = 180
  • 4y = 144
  • y = 36

Then find the other angles:

  • x = 2*36 = 72
  • z = 36 + 36 = 72

ItzTdsidn

Now we have to,

find the three angles if one angle is twice smallest angle and third angle is 36° greater than smallest angle.

Then take the values as,

→ smallest angle = x

→ y = 2x

→ z = x + 36°

Let we find the angles,

→ x + y + z = 180°

→ x + 2x + x + 36° = 180°

→ 4x = 180 - 36

→ 4x = 144

→ x = 144/4

→ [x = 36°]

Now the value of y is,

→ y = 2x

→ y = 2 × 36°

→ [y = 72°]

Then the value of z is,

→ z = x + 36°

→ z = 36° + 36°

→ [z = 72°]

Placing values from least to greatest,

→ 36°, 72°, 72°

Hence, the order is 36°, 72°, 72°.

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.