ngle ABC and angle CBD are complementary. The measure of angle ABC is $$ 5 x+25 $$. The measure of an CBD is $$ x+5 $$. Find the measure of angle ABC .

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To find the measure of angle $$ ABC $$, let's analyze the given information:

1. **Complementary Angles:**  
   $$ \angle ABC $$ and $$ \angle CBD $$ are complementary, which means their measures add up to $$ 90^\circ $$.

2. **Given Expressions:**  
   - $$ \angle ABC = 5x + 25 $$  
   - $$ \angle CBD = x + 5 $$

3. **Setting Up the Equation:**  
   Since the angles are complementary:  
   $$
   (5x + 25) + (x + 5) = 90
   $$

4. **Solving for $$ x $$:**  
   $$
   5x + 25 + x + 5 = 90  
   6x + 30 = 90  
   6x = 60  
   x = 10
   $$

5. **Finding $$ \angle ABC $$:**  
   Substitute $$ x = 10 $$ into the expression for $$ \angle ABC $$:  
   $$
   \angle ABC = 5(10) + 25 = 50 + 25 = 75^\circ
   $$

**Answer:**  
The measure of angle $$ ABC $$ is $$ 75^\circ $$.
The measure of angle $$ ABC $$ is $$ 75^\circ $$.

ngle ABC and angle CBD are complementary. The measure of angle ABC is \( 5 x+25 \). The measure of an CBD is \( x+5 \). Find the measure of angle ABC .

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