Question in picture attached
1 answer:
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Answer:
∠ XAZ = 50°
Step-by-step explanation:
The measure of the circle = 360°
Given arc XYZ = 230°, then
arc XZ = 360° - 230° = 130°
The tangent- tangent angle XAZ is one half the difference of the intercepted arcs, that is
∠ XAZ = (230 - 130)° = 0.5 × 100° = 50°
Answer:
<h2>Kelly is wrong, with this congruent parts, we can conclude that triangles are congruent.</h2>Step-by-step explanation:
To demonstrate congruent triangles, we need to use the proper postulates. There are at least 5 postulates we can use.
- Angle-Angle-Side Theorem (AAS theorem).
- Hypotenuse-Leg Theorem (HL theorem).
- Side-Side-Side Postulate (SSS postulate).
- Angle-Side-Angle Postulate (ASA postulate).
- Side-Angle-Side Postulate (SAS postulate).
In this case, Kelly SAS postulate, because the corresponding sides-angles-sides are congruent, i.e., KL ≅ MN and LM ≅ KN, also, all corresponding angles are congruent.
So, as you can see, only using SAS postulate, the congruency can be demonstrated. (Refer to the image attached to see an example of SAS postulate)
