The measure of ∠DBE is 64°
Step-by-step 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;
![\angle ABC+\angle DBE=90^(\circ)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/f6t1pkbc1zbolbi477u6yryuf51tmy9l4m.png)
Substituting the values, we get,
![26^(\circ)+\angle DBE=90^(\circ)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/x7cnqsgoo8rmmoa5cewnrzoefet6hi3ef5.png)
![\angle DBE=90^(\circ)-26^(\circ)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/l66trcqfv4exlnzk71e847hr5at8pzcvn2.png)
![\angle DBE=64^(\circ)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ilkrc6h205gtoy6a5s4jpn8vlutf3hmpq1.png)
Thus, the measure of ∠DBE is 64°