In the diagram, the measure of angle 3 is 89°, and the measure of angle 6 is 88°.
2 answers:
Alright, lets get started.
Angle 3 and angle 4 are adjacent angles because they are having the common side.
They both are on straight line, so, their addition will be 180°.
Suppose angle 4 is x , hence
angle 4 + angle 3 = 180
Subtracting 89 from both sides
°
Hence angle 4 is 91°. : Answer
Hope it will help :)
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9514 1404 393
Answer:
obtuse
Step-by-step explanation:
You may remember that side lengths of 3, 4, 5 make a right triangle. Doubling those lengths to 6, 8, 10 will still give a right triangle.
The given triangle has a longest side (11) longer than would be appropriate for a right triangle (10), so the largest angle is larger than 90°.
The triangle is obtuse.
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Comparison of a triangle to a right triangle with two sides the same is one of several ways the triangle can be classified. You can use the Law of Cosines to find the largest angle, or you can use a triangle solver (as we have below).
In case you don't recall that 3-4-5 makes a right triangle, you can use the Pythagorean theorem to find the longest side of a right triangle with the given shorter sides:
hypotenuse = √(6² +8²) = √100 = 10
Your long side is longer, so your largest angle is larger than 90°.
Law of Cosines:
angle = arccos((6² +8² -11²)/(2·6·8)) = arccos(-21/96) ≈ 102.6°
