6. The isosceles trapezoid is part of an isosceles triangle with a 34° vertex angle. What is the measure of an acute base angle of the trapezoid? Of an obtuse base angle? The diagram is not drawn to scale.
(1 point)73o; 107o
34o; 146o
73o; 146o
34o; 107o
A is your answer
To find the measure of the acute base angle of the trapezoid, we need to subtract the vertex angle (34°) from 180° (since the sum of angles in a triangle is 180°).
Acute base angle = 180° - 34° = 146°
To find the measure of the obtuse base angle, we need to subtract the acute base angle (146°) from 180°.
Obtuse base angle = 180° - 146° = 34°
Therefore, the measure of the acute base angle of the trapezoid is 146° and the measure of the obtuse base angle is 34°.
The correct answer is: 146°; 34°
To find the measure of the acute base angle and the obtuse base angle of the isosceles trapezoid, we need to understand the properties of isosceles trapezoids and isosceles triangles.
1. Isosceles trapezoid properties:
- The base angles (the angles opposite the parallel sides) are equal.
- The non-parallel sides are equal.
2. Isosceles triangle properties:
- An isosceles triangle has two equal sides and two equal angles.
- The measure of the vertex angle (angle between the two equal sides) is given as 34°.
From the given information, we can conclude the following:
- The vertex angle of the isosceles triangle is 34°, which means the other two base angles of the triangle are also equal.
Since the trapezoid is part of the isosceles triangle, the base angles of the trapezoid will have the same measures as the base angles of the triangle.
So, the measure of an acute base angle of the trapezoid will be 34°, and the measure of an obtuse base angle will also be 34°.
Therefore, the correct answer is:
34°; 34°
for the 2020 connections students Unit 2 lesson 12 Honors Geometry
1) C
2) B
3) C
4) B
5) A
6) A
7) C
8) B
9) C
10) A
You have to answer 11,12, and 13 on your own
and I'm not 100% sue if they are right