There are 4 quadrants and each quadrant is has a measure of 90° angle.
Because the direction is positive, it means that the arm is going from 1st quadrant to 2nd quadrant.
90° + 90° = 180°
Because there is an additional rotation of 25°, the arm is now in the 3rd quadrant.
180° + 25° = 205°
The measure of the angle is 205°
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.
m∠4=m∠1+m∠2m∠4=m∠1+m∠2
Proof:
Given: ΔPQRΔPQR
To Prove: m∠4=m∠1+m∠2m∠4=m∠1+m∠2
StatementReason1ΔPQRΔPQR is a triangleGiven2m∠1+m∠2+m∠3=180°m∠1+m∠2+m∠3=180°Triangle Sum Theorem3∠3∠3 and ∠4∠4 form a linear pairDefinition of linear pair.4∠3∠3 and ∠4∠4 are supplementaryIf two angles form a linear pair, they are supplementary.5m∠3+m∠4=180°m∠3+m∠4=180°Definition of supplementary angles.6m∠3+m∠4=m∠1+m∠2+m∠3m∠3+m∠4=m∠1+m∠2+m∠3Statements 2, 5 and Substitution Property.7m∠4=m∠1+m∠2m∠4=m∠1+m∠2Subtraction Property. im 99.9 perecent sure this is right bc im only in middle school but hope it helps
Start with parenthesis first.
so a+a+2a+48
Then add all like terms.
4a=48
Then solve for a by dividing 4 from 48.
a=12
Because we know that the number in between x+6 and 2x-3 is 18, we can solve for x by doing (x+6+2x-3)/2=18. this simplifies to 3x+3=36, or x=11.
