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 angle?
73°; 107°
34°; 146°
73°; 146°
34°; 107°
Thank you =) :) ;)
2 x + 34 = 180
x = 73
180 - x = 107
I hate this school
The dum guy is also wrong that’s why he’s called the dumb guy like duh
@Anonymous With a passion
To solve this problem, we need to understand the properties of an isosceles trapezoid and an isosceles triangle with a 34° vertex angle.
An isosceles trapezoid has two pairs of parallel sides, with the base angles (opposite to the parallel sides) being congruent. The acute base angles of an isosceles trapezoid are equal in measure since their opposite sides are congruent.
In an isosceles triangle with a 34° vertex angle, the base angles (opposite to the congruent sides) are also congruent.
Now let's solve the problem:
We want to find the measure of an acute base angle of the trapezoid. Since the trapezoid is part of an isosceles triangle with a 34° vertex angle, we know that the measure of the acute base angle will also be 34°.
Therefore, the correct answer is 34° for the measure of an acute base angle of the trapezoid.
Next, we want to find the measure of an obtuse angle of the trapezoid. Since the acute base angles in an isosceles trapezoid are equal, and the sum of all angles in a trapezoid is 360°, we can subtract the measure of the 34° acute angle from 360° to find the measure of the obtuse angle.
360° - 34° = 326°
Therefore, the correct answer is 326° for the measure of an obtuse angle of the trapezoid.
So, the answer is 34° for the measure of an acute base angle, and 326° for the measure of an obtuse angle.
Thus, the correct option is:
34° for the measure of an acute base angle; 326° for the measure of an obtuse angle.
J is wrong
1.D
2.A
3.B
4.A
Geometry unit 10, Lesson12
1.C
2.D
3.A
4.A
5.D
6.A
7.A
8.A
9.B