Hope these help but i wrote all of it out with all its geometrical reasons
Answer:
x = 18, y = 45
Step-by-step explanation:
4x - 7 + a = 180 (linear pair)
But, a = 6x + 7 (alternate interior angles)
=> 4x - 7 + 6x + 7 = 180
=> 10x = 180
=> x = 18
Now, 3y - 20 = 6x + 7 (vertically opposite angles)
=> 3y - 20 = 6(18) + 7
=> 3y = 108 + 7 + 20
=> 3y = 135
=> y = 45
Hope it helps :)
Please mark my answer as the brainliest
Answer:
29/35
Step-by-step explanation:
As isosceles triangle has two congruent sides with a third side
<span>that is the base. </span>
<span>A base angle of an isosceles triangle is one of the angles formed by </span>
<span>the base and another side. Base angles are equal because of the </span>
<span>definition of an isosceles triangle. </span>
<span>A picture would probably help here: </span>
<span>A </span>
<span>. </span>
<span>/ \ ABC = ACB = 39 degrees </span>
<span>/ BAC = ??</span>
<span>._______________. </span>
<span>B C </span>
<span>base </span>
<span>ABC is the isosceles triangle. AB is congruent to AC. Angle ABC </span>
<span>is congruent to angle ACB. These are the base angles. </span>
<span>Triangle is a convex polygon with three segments joining three non-collinear points. Each of the three segments is called a side, and each of the three non-collinear points is called a vertex. </span>
<span>Triangles can be categorized by the number of congruent sides they have. For instance, a triangle with no congruent sides is a scalene triangle; a triangle with two congruent sides is an isosceles triangle; a triangle with three congruent sides is an equilateral triangle. </span>
<span>Triangles can also be categorized by their angles. For instance, a triangle with three acute interior angles is an acute triangle; a triangle with one obtuse interior angle is an obtuse triangle; a triangle with one right interior angle is a right triangle; a triangle with three congruent interior angles is an equiangular triangle. </span>
<span>One property of a triangle is that the sum of the measures of the three interior angles is always 180 degrees (or pi radians). In addition, the exterior angle of a triangle is the supplement of the adjacent interior angle. The measure of the exterior angle is also the sum of the measures of the two remote interior angles.</span>
Answer: Option 4
Step-by-step explanation:
(linear pair)
(angle sum in a triangle)
(linear pair)
