ISEE Upper Level Math : How to find an angle in an acute / obtuse triangle
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Example Questions
Example Question #1 :Acute / Obtuse Triangles
Which of the following is true about a triangle with two angles that measure
This triangle is isosceles and right.
This triangle cannot exist.
This triangle is scalene and obtuse.
This triangle is scalene and right.
This triangle is isosceles and obtuse.
This triangle cannot exist.
A triangle must have at least two acute angles; however, a triangle with angles that measure
Example Question #2 :How To Find An Angle In An Acute / Obtuse Triangle
Which of the following is true about a triangle with two angles that measure
The triangle is obtuse and scalene.
The triangle cannot exist.
The triangle is acute and isosceles.
The triangle is obtuse and isosceles.
The triangle is acute and scalene.
The triangle cannot exist.
A triangle must have at least two acute angles; however, a triangle with angles that measure
Example Question #1 :Solve Simple Equations For An Unknown Angle In A Figure: Ccss.Math.Content.7.G.B.5
One angle of an isosceles triangle has measure
Not enough information is given to answer this question.
An isosceles triangle not only has two sides of equal measure, it has two angles of equal measure. This means one of two things, which we examine separately:
Case 1: It has another
Case 2: Its other two angles are the ones that are of equal measure. If we let
Both angles measure
Example Question #6 :Acute / Obtuse Triangles
The angles of a triangle measure
度之和措施的角度triangle is 180, so we solve for
Example Question #7 :Acute / Obtuse Triangles
The acute angles of a right triangle measure
Evaluate
The degree measures of the acute angles of a right triangle total 90, so we solve for
Example Question #8 :Acute / Obtuse Triangles
Note: Figure NOT drawn to scale
Refer to the above figure.
What is the measure of
Congruent chords of a circle have congruent minor arcs, so since
Since there are
The inscribed angle
Example Question #9 :Acute / Obtuse Triangles
Solve for
The sum of the internal angles of a triangle is equal to
Example Question #1 :How To Find An Angle In An Acute / Obtuse Triangle
Refer to the above figure. Express
The measure of an interior angle of a triangle is equal to 180 degrees minus that of its adjacent exterior angle, so
and
The sum of the degree measures of the three interior angles is 180, so
Example Question #2 :How To Find An Angle In An Acute / Obtuse Triangle
In the above figure,
Give the measure of
The sum of the degree measures of a triangle is
Example Question #1 :How To Find An Angle In An Acute / Obtuse Triangle
Figure NOT drawn to scale.
Refer to the above figure. Evaluate
The measure of an exterior angle of a triangle, which here is
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