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09 Apr 2025, 07:31
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12 Apr 2025, 11:34
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OE
The question asks for h, which is one of the smaller angles. Angles a and d are both smaller angles as well, so solve for one of those. Angle a and angle g sum to 180.
Further, angle a and angle d are equal.
Substitute x = 3y − 10 into the first equation and solve for y.
There are two paths forward from here. In order to solve directly for a, you need the values of both x and y, so you could solve for x next, then plug into the formula for a. Alternatively, use y alone to find the value of g. Since g = 11y = 11(10), the value of g is 110. And since g is a big angle, the measure of a small angle is 180 − g = 180 − 110 = 70.
GMAT-Club-Forum-804tambg.png [ 23.41 KiB | Viewed 112 times ]
GMAT-Club-Forum-ndostkqf.png [ 20.84 KiB | Viewed 112 times ]
GMAT-Club-Forum-ngqfu455.png [ 22.17 KiB | Viewed 113 times ]
The question asks for h, which is one of the smaller angles. Angles a and d are both smaller angles as well, so solve for one of those. Angle a and angle g sum to 180.
Further, angle a and angle d are equal.
Substitute x = 3y − 10 into the first equation and solve for y.
There are two paths forward from here. In order to solve directly for a, you need the values of both x and y, so you could solve for x next, then plug into the formula for a. Alternatively, use y alone to find the value of g. Since g = 11y = 11(10), the value of g is 110. And since g is a big angle, the measure of a small angle is 180 − g = 180 − 110 = 70.
Attachment:
GMAT-Club-Forum-804tambg.png [ 23.41 KiB | Viewed 112 times ]
Attachment:
GMAT-Club-Forum-ndostkqf.png [ 20.84 KiB | Viewed 112 times ]
Attachment:
GMAT-Club-Forum-ngqfu455.png [ 22.17 KiB | Viewed 113 times ]
