# SOLUTION: angle a and angle b form a linear pair. the measure of angle b is 10 less than twice the measure of angle a. find the measure of each angle

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 Question 164483: angle a and angle b form a linear pair. the measure of angle b is 10 less than twice the measure of angle a. find the measure of each angleFound 2 solutions by nerdybill, themathprof:Answer by nerdybill(7003)   (Show Source): You can put this solution on YOUR website! angle a and angle b form a linear pair. the measure of angle b is 10 less than twice the measure of angle a. find the measure of each angle . Let a = measure of angle a and b = measure of angle b . Because the form a "linear pair" the sum of the two angles must be 180: a + b = 180 (equation 1) . From: "the measure of angle b is 10 less than twice the measure of angle a" b =2a-10 -2a + b = -10 (equation 2) . Our equations: a + b = 180 -2a + b = -10 . Using elimination method: multiply equation 2 by a -1: a + b = 180 2a - b = 10 ------------- 3a = 170 a = 56.667 deg (angle a) or 56 2/3 deg . Substitute this back into equation 2 and solve for b: a + b = 180 56.667 + b = 180 b = 180 - 56.667 b = 123.333 deg (angle b) or 123 1/3 deg Answer by themathprof(21)   (Show Source): You can put this solution on YOUR website!angle a and angle b form a linear pair. the measure of angle b is 10 less than twice the measure of angle a. find the measure of each angle I guess that you mean they form a straight angle which = 180 (degrees) Look for the word 'than'. What's after the word 'than?' Angle a. So, x=angle A Now, B is 10 less So B=x-10 But a straight angle has 180 degrees So A+B=180 Or x+x-10=180 or, 2x-10=180 2x=190 x=95 (angle A) x-10=(95-10)=85 (Angle B) Find more word problems worked out step by step in my FREE software math911. Download and activate FREE from www.math911.com Tell your friends (and your teacher) Professor Martin Weissman