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pychu [463]
3 years ago
11

Work out the size of the angle marked x. x 145

Mathematics
1 answer:
dedylja [7]3 years ago
5 0

Answer:

x = 125°

Step-by-step explanation:

The sum of the angles around a point = 360° , then

90 + 145 + x = 360°

235° + x = 360° ( subtract 235° from both sides )

x = 125°

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Read 2 more answers
Based on the information on the diagram, what is the measure of angle ADC?​
Serga [27]

Answer:

73°

Step-by-step explanation:

Given: BD=BE

           ∠DBE= 50°

            ∠EAC= 42°

           DE//AC and AE=CD

Attach is the new drawn diagram with M point.

∵ we know BD=BE, ∴ ∠BDE=∠BED= x ( taking x as unknown angle)

Remember, sum of triangle= 180°

Now, ∠BDE+∠BDE+∠DBE= 180°

⇒  x+x+50= 180

⇒ 2x+50= 180

Subtracting both side by 50, then dividing both side by 2

∴ x= \frac{130}{2}= 65°

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Next, ∠EDC=DCA= 42° ( ∵ Alternate interior angle as we know DE//AC )

Now, we have ∠EDC= 42°, ∠BDE= 65°

∴ BDE+EDC+ADC= 180° (∵sum of straight line= 180°)

⇒ 65+42+ADC= 180°

⇒107+ADC= 180°

Subtracting both side by 107

∴∠ADC= 180-107= 73°

∴∠ADC= 73°

7 0
3 years ago
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