The measure of ∠DBE is 64°
Explanation:
Given that the angles ABC and DBE are complementary angles.
The measure of angle ABC is given as ∠ABC = 26°
We need to determine the measure of angle DBE.
Measure of ∠DBE:
Since, the angles ABC and DBE are complementary and we know that the complementary angles add up to 90°
Thus, we have;
[tex]\angle ABC+\angle DBE=90^{\circ}[/tex]
Substituting the values, we get,
[tex]26^{\circ}+\angle DBE=90^{\circ}[/tex]
[tex]\angle DBE=90^{\circ}-26^{\circ}[/tex]
[tex]\angle DBE=64^{\circ}[/tex]
Thus, the measure of ∠DBE is 64°
