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Mathematics 27 Online
OpenStudy (nuccioreggie):

Find the measure of angle x in the figure below: Two triangles are shown such that one triangle is inverted and share a common vertex. The lower triangle has two angles at the base marked as 75 degrees each. The angle at the vertex of the inverted triangle at the top is marked as x degrees. 15° 25° 30° 60°

OpenStudy (nuccioreggie):

@Michele_Laino. Here it is

OpenStudy (welshfella):

use the fact that the 3 angles in a triangle add up to 180 degrees

OpenStudy (michele_laino):

hint: |dw:1433527344887:dw|

OpenStudy (welshfella):

also when 2 lines cross the opposite angles are equal |dw:1433527397366:dw|

OpenStudy (michele_laino):

we have a pair of vertical angles so we can write: x + 75 +75 = 180

OpenStudy (nuccioreggie):

Ok im going to work it out

OpenStudy (nuccioreggie):

I got 30

OpenStudy (michele_laino):

that's right!

OpenStudy (nuccioreggie):

Is that the correct answer

OpenStudy (michele_laino):

yes!

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