math hw help!?

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In / /ABCD, the measure of show work plz

Thank you so much!

2007-08-12 07:49:45 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

2 answers

Again - adjacent angles in a quadrilateral must add up to 180.
Let x = measure of angle B
thus x+30 = measure of angle A
so x + x + 30 = 180
2x + 30 = 180
2x = 150
x = 75 = the measure of angle B

2007-08-12 07:56:01 · answer #1 · answered by MathProf 4 · 0⤊ 0⤋

1. A + B = 180
2. A-30 = B

put B from 2 into 1 to get:

A + A -30 = 180
2A = 210
A 105 deg
since B = A-30
B= 105 - 30 = 75 deg

2007-08-12 07:57:51 · answer #2 · answered by 037 G 6 · 0⤊ 0⤋