It is known that angles A and D are equal to 90 degrees
Angle DEB is equal to 95 degrees
Complete the value of angle GDC based on the data from the figure.
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It is known that angles A and D are equal to 90 degrees
Angle DEB is equal to 95 degrees
Complete the value of angle GDC based on the data from the figure.
Note that the GDC angle is part of the EDC angle.
Therefore, we can write the following expression:
Since we know that angle D equals 90 degrees, we will substitute the values in the formula:
We will simplify the expression and keep the appropriate sign:
50
Find the measure of the angle \( \alpha \)
Look for angles that are adjacent (share a common ray) and together form the angle you're looking for. In this case, GDC and EDG are adjacent and together make angle EDC.
The problem states that angles A and D are both 90°. This means angle EDC (the full angle at point D) is a right angle, which we can use in our calculations.
It means ray DG divides angle EDC into two smaller angles: EDG and GDC. These two parts add up to the whole angle EDC.
Yes! You could also think of it as: EDG + GDC = 90°, then substitute the known value of EDG (40°) to get the same answer.
Check that it's less than 90° (since it's part of a right angle) and that when added to 40°, it gives exactly 90°. Both conditions are satisfied!
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