Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

32°
75°
a
hello,pls help me find the sizes of the lettered angle,and Reason,it is a right angle triangle where a is outside the triangle​

Sagot :

chibabykalu16

Answer:

a = 107

Step-by-step explanation:

Given:

  • One angle is 32°.
  • Another angle is 75°.
  • Angle is outside the triangle.

To solve for the size of the lettered angle in a right-angled triangle, we need to use the given angles and the properties of triangles.

  1. Identify the angles within the triangle

    In a right-angled triangle, the sum of the angles is always 180°. Since one of the angles is 90°, the sum of the other two angles must be 90°.

    Given angles = 32° + 75°
  2. Check the given angles

    We notice that the sum of the given angles 32° + 75° = 107°, which is greater than 90°. This indicates that angle must be an exterior angle to the triangle.
  3. Determine the exterior angle

    In any triangle, the exterior angle equals the sum of the two non-adjacent interior angles. Since is outside the triangle and we are given the sum of 32° and 75° is 107°, this sum corresponds to the exterior angle .

Therefore, the size of the angle is:

[tex]\boxed{a = 107^\circ}[/tex]

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.