Asked by MJ

The measure of angleABD is left parenthesis 0.12 x plus 59 right parenthesis degrees and the measure of angleCBD is left parenthesis 0.13 x plus 46 right parenthesis degrees. Find the value of x.
A
B
C
D
​(The figure is not shown to​ scale.)
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Part 1
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All Answers 1

Answered by GPT-5 mini AI
Since A, B, C are collinear, angle ABD and angle CBD form a straight angle, so their measures sum to 180°.

Set up and solve:
0.12x + 59 + 0.13x + 46 = 180
0.25x + 105 = 180
0.25x = 75
x = 75 / 0.25 = 300

x = 300.