SOLUTION: Given: m∢2 = 2(m∢1) Prove : m∢1= 60° The picture is a straight line with a line bisecting making angles 1 and 2, ray going to the left.

Algebra.Com
Question 1049107: Given: m∢2 = 2(m∢1)
Prove : m∢1= 60°
The picture is a straight line with a line bisecting making angles 1 and 2, ray going to the left.

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Angles 1 and 2 form a linear pair. A linear pair of angles is supplementary. The sum of the measures of two supplementary angles is 180 degrees. If angle 2 is twice the measure of angle 1, let represent the measure of angle 1. Then must represent the measure of angle 2. Since the sum of the measures of these two angles is 180 degrees:



Solve for

John

My calculator said it, I believe it, that settles it


RELATED QUESTIONS

In any triangle, the sum of the measures of the angles is 180° . In ΔABC, ∢ A... (answered by oberobic)
Given: Triangle ABC Prove: m<4= m<1 + m<2 Picture: A triangle with line, CD,... (answered by drk)
In any triangle, the sum of the measures of the angles is 180° . In ΔABC, ∢ A... (answered by solver91311,richwmiller)
Given: RT Δ ABC, with RT, ∢ at C , DC ⊥ AB AC= √2 and, BC =... (answered by MRperkins)
given: line segment sv bisects (answered by greenestamps)
given: m<1 + m<2 = 180 Prove:... (answered by Alan3354)
given: m<1=m,3 and m<2=m<4 prove: m (answered by solver91311)
Given: AM = 1/2 AB, Prove: M is the midpoint of line... (answered by greenestamps)
: Provide the reasons for the proof. Given: m angle 1 = m angle 2 Prove: (line... (answered by richard1234)