BA is perpendicular to BD. Angle ABE measures 17 degrees and angle DBC measures 54 degrees. Fine the measure of angle EBC.
The three angles must add to 90 degrees, so
ABE + EBC + CBD = 90
17 + EBC + 54 = 90
EBC = 19
That's assuming, of course that C and E are between A and D. Otherwise, everything changes.
a right angle triangle is divided into 2 triangles. the right triangle angles measures are: 68 and 90. The other triangle angle measure is 55, what are the measurement of the 2 missing angles?
127
To find the measure of angle EBC, we can use the fact that BA is perpendicular to BD.
Since BA is perpendicular to BD, it forms a right angle. Therefore, angle ABD measures 90 degrees.
We know that angle ABE measures 17 degrees.
Now, to find the measure of angle EBC, we need to subtract the sum of angles ABD and ABE from the measure of angle DBC.
Angle EBC = angle DBC - (angle ABD + angle ABE)
= 54 degrees - (90 degrees + 17 degrees)
= 54 degrees - 107 degrees
= -53 degrees
However, negative angles do not make sense in this context, so we can conclude that the measure of angle EBC is undefined or it does not exist.
Therefore, the answer is that the measure of angle EBC cannot be determined based on the given information.