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Updated on: 30 Dec 2025, 02:30
Originally posted by Sajjad1994 on 09 Aug 2020, 06:40.
Last edited by Bunuel on 30 Dec 2025, 02:30, edited 3 times in total.
Last edited by Bunuel on 30 Dec 2025, 02:30, edited 3 times in total.
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Measure of
angle B: 104
angle B: 104
Measure of
angle C: 38
angle C: 38
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Difficulty:
45%
(medium)
Question Stats:
75% (01:51) correct
25%
(01:27)
wrong
based on 270
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Veritas Prep
Triangle ABC is an obtuse, isosceles triangle in which the length of side AC is greater than the length of side BC. From the table below, select values that could correspond to the measures of angle B and angle C.
Triangle ABC is an obtuse, isosceles triangle in which the length of side AC is greater than the length of side BC. From the table below, select values that could correspond to the measures of angle B and angle C.
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|
Measure of angle B |
Measure of angle C |
--------- |
| 30 | ||
| 38 | ||
| 60 | ||
| 68 | ||
| 104 | ||
| 106 |
ShowHide Answer
Official Answer
Measure of
angle B: 104
angle B: 104
Measure of
angle C: 38
angle C: 38
05 Jan 2021, 07:58
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sthahvi
Explanation
An obtuse angel is one which is always greater than 90 degree but less than 180. The triangle is also an isosceles which means that two angel of the triangle are equal in length. We know that side AC is greater than BC (A rough figure is below)
123.jpg [ 25.57 KiB | Viewed 4751 times ]
If angel AC is greater than BC it means angel B is the one which is greater than 90. Now we have to select the corresponding angels. We know angel B is greater than 90 so only two option left for B. If we pick up 106 for B then the remaining angel will be 37 degree each which not available in the options. Next available option for B is 104, If B is 104 then the remaining both will equal to 38 and it is available in the options so B=104 and C=38
Thank you
An obtuse angel is one which is always greater than 90 degree but less than 180. The triangle is also an isosceles which means that two angel of the triangle are equal in length. We know that side AC is greater than BC (A rough figure is below)
Attachment:
123.jpg [ 25.57 KiB | Viewed 4751 times ]
If angel AC is greater than BC it means angel B is the one which is greater than 90. Now we have to select the corresponding angels. We know angel B is greater than 90 so only two option left for B. If we pick up 106 for B then the remaining angel will be 37 degree each which not available in the options. Next available option for B is 104, If B is 104 then the remaining both will equal to 38 and it is available in the options so B=104 and C=38
Thank you
