Result shown 1. For angle $\angle DBC = 90$ 2. For method to find angle $\angle ABC$ or angle $\angle ADB$, $180 - \angle DBC$ 3. Or for angle $\angle ABC = 90 - \angle ACB$ and point required. 4. For mark point at circumference and draws triangle using $i$ and $j$ and point needed.

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Result shown 1 - Edexcel - GCSE Maths - Question 18 - 2022 - Paper 1

Question 18

Result shown 1. For angle $\angle DBC = 90$ 2. For method to find angle $\angle ABC$ or angle $\angle ADB$, $180 - \angle DBC$ 3. Or for angle $\angle ABC = 90 - ... show full transcript

Worked Solution & Example Answer:Result shown 1 - Edexcel - GCSE Maths - Question 18 - 2022 - Paper 1

Step 1

For angle $\angle DBC = 90$

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Answer

To find angle $\angle DBC$ , we recognize that it is a right angle, thus $\angle DBC = 90^\circ$ .

Step 2

For method to find angle $\angle ABC$ or angle $\angle ADB$

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Answer

To find angle $\angle ABC$ , we use the sum of angles in a triangle:

$\angle ABC = 180 - \angle DBC$

Substituting $\angle DBC = 90$ , we have:

$\angle ABC = 180 - 90 = 90^\circ$

Step 3

For angle $\angle ABC = 90 - \angle ACB$

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Answer

Alternatively, we can find angle $\angle ABC$ using another property of triangles:

$\angle ABC = 90 - \angle ACB$

If we know $\angle ACB$ , we substitute its value to find $\angle ABC$ .

Step 4

Mark point at circumference and draw triangle

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Answer

We mark point $i$ at the circumference and draw triangle $\triangle ADB$ . The triangle's angles should also confirm $\angle ABC + \angle ACB + \angle ADB = 180^\circ$ .

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